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Finding the Fourth Proportional to 9,257.80, 13,887.90 and 4,580.20

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Solution

The fourth proportional to 9,257.80, 13,887.90 and 4,580.20 is: 6,870.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.80 : 13,887.90 = 4,580.20 : x
  2. Step 2: Convert to fraction form
    9,257.80/13,887.90 = 4,580.20/x
  3. Step 3: Cross multiply
    9,257.80x = 13,887.90 × 4,580.20
  4. Step 4: Simplify right side
    9,257.80x = 63,609,359.58
  5. Step 5: Solve for x
    x = 63,609,359.58/9,257.80
  6. Step 6: Final answer
    x = 6,870.89

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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.