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Finding the Fourth Proportional to 31,885.32, 47,830.68 and 9,698.88

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Solution

The fourth proportional to 31,885.32, 47,830.68 and 9,698.88 is: 14,549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,885.32 : 47,830.68 = 9,698.88 : x
  2. Step 2: Convert to fraction form
    31,885.32/47,830.68 = 9,698.88/x
  3. Step 3: Cross multiply
    31,885.32x = 47,830.68 × 9,698.88
  4. Step 4: Simplify right side
    31,885.32x = 463,904,025.64
  5. Step 5: Solve for x
    x = 463,904,025.64/31,885.32
  6. Step 6: Final answer
    x = 14,549.14

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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.