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Finding the Fourth Proportional to 12,277.60, 18,419.10 and 5,702.20

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Solution

The fourth proportional to 12,277.60, 18,419.10 and 5,702.20 is: 8,554.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.60 : 18,419.10 = 5,702.20 : x
  2. Step 2: Convert to fraction form
    12,277.60/18,419.10 = 5,702.20/x
  3. Step 3: Cross multiply
    12,277.60x = 18,419.10 × 5,702.20
  4. Step 4: Simplify right side
    12,277.60x = 105,029,392.02
  5. Step 5: Solve for x
    x = 105,029,392.02/12,277.60
  6. Step 6: Final answer
    x = 8,554.55

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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.