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Finding the Fourth Proportional to 15,200.71, 22,800.15 and 4,670.83

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Solution

The fourth proportional to 15,200.71, 22,800.15 and 4,670.83 is: 7,005.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.71 : 22,800.15 = 4,670.83 : x
  2. Step 2: Convert to fraction form
    15,200.71/22,800.15 = 4,670.83/x
  3. Step 3: Cross multiply
    15,200.71x = 22,800.15 × 4,670.83
  4. Step 4: Simplify right side
    15,200.71x = 106,495,567.62
  5. Step 5: Solve for x
    x = 106,495,567.62/15,200.71
  6. Step 6: Final answer
    x = 7,005.96

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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.