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Finding the Fourth Proportional to 10,470.74, 15,708.53 and 4,629.02

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Solution

The fourth proportional to 10,470.74, 15,708.53 and 4,629.02 is: 6,944.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.74 : 15,708.53 = 4,629.02 : x
  2. Step 2: Convert to fraction form
    10,470.74/15,708.53 = 4,629.02/x
  3. Step 3: Cross multiply
    10,470.74x = 15,708.53 × 4,629.02
  4. Step 4: Simplify right side
    10,470.74x = 72,715,032.57
  5. Step 5: Solve for x
    x = 72,715,032.57/10,470.74
  6. Step 6: Final answer
    x = 6,944.60

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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.