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Finding the Fourth Proportional to 31,503.61, 47,264.66 and 9,317.58

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Solution

The fourth proportional to 31,503.61, 47,264.66 and 9,317.58 is: 13,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,503.61 : 47,264.66 = 9,317.58 : x
  2. Step 2: Convert to fraction form
    31,503.61/47,264.66 = 9,317.58/x
  3. Step 3: Cross multiply
    31,503.61x = 47,264.66 × 9,317.58
  4. Step 4: Simplify right side
    31,503.61x = 440,392,250.72
  5. Step 5: Solve for x
    x = 440,392,250.72/31,503.61
  6. Step 6: Final answer
    x = 13,979.10

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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.