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Finding the Fourth Proportional to 9,246.76, 12,764.88 and 5,712.04

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Solution

The fourth proportional to 9,246.76, 12,764.88 and 5,712.04 is: 7,885.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.76 : 12,764.88 = 5,712.04 : x
  2. Step 2: Convert to fraction form
    9,246.76/12,764.88 = 5,712.04/x
  3. Step 3: Cross multiply
    9,246.76x = 12,764.88 × 5,712.04
  4. Step 4: Simplify right side
    9,246.76x = 72,913,505.16
  5. Step 5: Solve for x
    x = 72,913,505.16/9,246.76
  6. Step 6: Final answer
    x = 7,885.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.