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Finding the Fourth Proportional to 31,784.74, 47,677.44 and 9,598.30

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Solution

The fourth proportional to 31,784.74, 47,677.44 and 9,598.30 is: 14,397.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,784.74 : 47,677.44 = 9,598.30 : x
  2. Step 2: Convert to fraction form
    31,784.74/47,677.44 = 9,598.30/x
  3. Step 3: Cross multiply
    31,784.74x = 47,677.44 × 9,598.30
  4. Step 4: Simplify right side
    31,784.74x = 457,622,372.35
  5. Step 5: Solve for x
    x = 457,622,372.35/31,784.74
  6. Step 6: Final answer
    x = 14,397.55

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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.