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Finding the Fourth Proportional to 10,037.59, 15,070.10 and 6,470.03

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Solution

The fourth proportional to 10,037.59, 15,070.10 and 6,470.03 is: 9,713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.59 : 15,070.10 = 6,470.03 : x
  2. Step 2: Convert to fraction form
    10,037.59/15,070.10 = 6,470.03/x
  3. Step 3: Cross multiply
    10,037.59x = 15,070.10 × 6,470.03
  4. Step 4: Simplify right side
    10,037.59x = 97,504,004.43
  5. Step 5: Solve for x
    x = 97,504,004.43/10,037.59
  6. Step 6: Final answer
    x = 9,713.89

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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.