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Finding the Fourth Proportional to 10,470.91, 15,707.04 and 4,627.50

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Solution

The fourth proportional to 10,470.91, 15,707.04 and 4,627.50 is: 6,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.91 : 15,707.04 = 4,627.50 : x
  2. Step 2: Convert to fraction form
    10,470.91/15,707.04 = 4,627.50/x
  3. Step 3: Cross multiply
    10,470.91x = 15,707.04 × 4,627.50
  4. Step 4: Simplify right side
    10,470.91x = 72,684,327.60
  5. Step 5: Solve for x
    x = 72,684,327.60/10,470.91
  6. Step 6: Final answer
    x = 6,941.55

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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.