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Finding the Fourth Proportional to 9,652.20, 14,456.70 and 9,436.20

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Solution

The fourth proportional to 9,652.20, 14,456.70 and 9,436.20 is: 14,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.20 : 14,456.70 = 9,436.20 : x
  2. Step 2: Convert to fraction form
    9,652.20/14,456.70 = 9,436.20/x
  3. Step 3: Cross multiply
    9,652.20x = 14,456.70 × 9,436.20
  4. Step 4: Simplify right side
    9,652.20x = 136,416,312.54
  5. Step 5: Solve for x
    x = 136,416,312.54/9,652.20
  6. Step 6: Final answer
    x = 14,133.18

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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.