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Finding the Fourth Proportional to 9,803.44, 14,705.16 and 6,894.76

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Solution

The fourth proportional to 9,803.44, 14,705.16 and 6,894.76 is: 10,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.44 : 14,705.16 = 6,894.76 : x
  2. Step 2: Convert to fraction form
    9,803.44/14,705.16 = 6,894.76/x
  3. Step 3: Cross multiply
    9,803.44x = 14,705.16 × 6,894.76
  4. Step 4: Simplify right side
    9,803.44x = 101,388,548.96
  5. Step 5: Solve for x
    x = 101,388,548.96/9,803.44
  6. Step 6: Final answer
    x = 10,342.14

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.