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Finding the Fourth Proportional to 9,476.87, 13,079.24 and 5,702.00

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Solution

The fourth proportional to 9,476.87, 13,079.24 and 5,702.00 is: 7,869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.87 : 13,079.24 = 5,702.00 : x
  2. Step 2: Convert to fraction form
    9,476.87/13,079.24 = 5,702.00/x
  3. Step 3: Cross multiply
    9,476.87x = 13,079.24 × 5,702.00
  4. Step 4: Simplify right side
    9,476.87x = 74,577,753.96
  5. Step 5: Solve for x
    x = 74,577,753.96/9,476.87
  6. Step 6: Final answer
    x = 7,869.45

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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.