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Finding the Fourth Proportional to 9,257.80, 13,886.70 and 5,372.20

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Solution

The fourth proportional to 9,257.80, 13,886.70 and 5,372.20 is: 8,058.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.80 : 13,886.70 = 5,372.20 : x
  2. Step 2: Convert to fraction form
    9,257.80/13,886.70 = 5,372.20/x
  3. Step 3: Cross multiply
    9,257.80x = 13,886.70 × 5,372.20
  4. Step 4: Simplify right side
    9,257.80x = 74,602,129.74
  5. Step 5: Solve for x
    x = 74,602,129.74/9,257.80
  6. Step 6: Final answer
    x = 8,058.30

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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.