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Finding the Fourth Proportional to 9,853.44, 13,602.76 and 7,610.28

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Solution

The fourth proportional to 9,853.44, 13,602.76 and 7,610.28 is: 10,506.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.44 : 13,602.76 = 7,610.28 : x
  2. Step 2: Convert to fraction form
    9,853.44/13,602.76 = 7,610.28/x
  3. Step 3: Cross multiply
    9,853.44x = 13,602.76 × 7,610.28
  4. Step 4: Simplify right side
    9,853.44x = 103,520,812.37
  5. Step 5: Solve for x
    x = 103,520,812.37/9,853.44
  6. Step 6: Final answer
    x = 10,506.06

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.