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Finding the Fourth Proportional to 9,898.64, 13,660.30 and 5,422.32

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Solution

The fourth proportional to 9,898.64, 13,660.30 and 5,422.32 is: 7,482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.64 : 13,660.30 = 5,422.32 : x
  2. Step 2: Convert to fraction form
    9,898.64/13,660.30 = 5,422.32/x
  3. Step 3: Cross multiply
    9,898.64x = 13,660.30 × 5,422.32
  4. Step 4: Simplify right side
    9,898.64x = 74,070,517.90
  5. Step 5: Solve for x
    x = 74,070,517.90/9,898.64
  6. Step 6: Final answer
    x = 7,482.90

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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.