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Finding the Fourth Proportional to 9,597.16, 14,371.26 and 7,652.20

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Solution

The fourth proportional to 9,597.16, 14,371.26 and 7,652.20 is: 11,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.16 : 14,371.26 = 7,652.20 : x
  2. Step 2: Convert to fraction form
    9,597.16/14,371.26 = 7,652.20/x
  3. Step 3: Cross multiply
    9,597.16x = 14,371.26 × 7,652.20
  4. Step 4: Simplify right side
    9,597.16x = 109,971,755.77
  5. Step 5: Solve for x
    x = 109,971,755.77/9,597.16
  6. Step 6: Final answer
    x = 11,458.78

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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.