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Finding the Fourth Proportional to 6,901.53, 10,346.47 and 3,003

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Solution

The fourth proportional to 6,901.53, 10,346.47 and 3,003 is: 4,501.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.53 : 10,346.47 = 3,003 : x
  2. Step 2: Convert to fraction form
    6,901.53/10,346.47 = 3,003/x
  3. Step 3: Cross multiply
    6,901.53x = 10,346.47 × 3,003
  4. Step 4: Simplify right side
    6,901.53x = 31,070,449.41
  5. Step 5: Solve for x
    x = 31,070,449.41/6,901.53
  6. Step 6: Final answer
    x = 4,501.97

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Double scale
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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.