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Finding the Fourth Proportional to 9,246.80, 12,764.84 and 5,712.08

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Solution

The fourth proportional to 9,246.80, 12,764.84 and 5,712.08 is: 7,885.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.80 : 12,764.84 = 5,712.08 : x
  2. Step 2: Convert to fraction form
    9,246.80/12,764.84 = 5,712.08/x
  3. Step 3: Cross multiply
    9,246.80x = 12,764.84 × 5,712.08
  4. Step 4: Simplify right side
    9,246.80x = 72,913,787.27
  5. Step 5: Solve for x
    x = 72,913,787.27/9,246.80
  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.