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Finding the Fourth Proportional to 9,671.78, 14,508.42 and 4,125.16

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Solution

The fourth proportional to 9,671.78, 14,508.42 and 4,125.16 is: 6,188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.78 : 14,508.42 = 4,125.16 : x
  2. Step 2: Convert to fraction form
    9,671.78/14,508.42 = 4,125.16/x
  3. Step 3: Cross multiply
    9,671.78x = 14,508.42 × 4,125.16
  4. Step 4: Simplify right side
    9,671.78x = 59,849,517.58
  5. Step 5: Solve for x
    x = 59,849,517.58/9,671.78
  6. Step 6: Final answer
    x = 6,188.06

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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.