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Finding the Fourth Proportional to 15,314.76, 22,972.14 and 4,927.32

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Solution

The fourth proportional to 15,314.76, 22,972.14 and 4,927.32 is: 7,390.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.76 : 22,972.14 = 4,927.32 : x
  2. Step 2: Convert to fraction form
    15,314.76/22,972.14 = 4,927.32/x
  3. Step 3: Cross multiply
    15,314.76x = 22,972.14 × 4,927.32
  4. Step 4: Simplify right side
    15,314.76x = 113,191,084.86
  5. Step 5: Solve for x
    x = 113,191,084.86/15,314.76
  6. Step 6: Final answer
    x = 7,390.98

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Similar ratio
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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.