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Finding the Fourth Proportional to 9,773.60, 13,471.84 and 7,645.52

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Solution

The fourth proportional to 9,773.60, 13,471.84 and 7,645.52 is: 10,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.60 : 13,471.84 = 7,645.52 : x
  2. Step 2: Convert to fraction form
    9,773.60/13,471.84 = 7,645.52/x
  3. Step 3: Cross multiply
    9,773.60x = 13,471.84 × 7,645.52
  4. Step 4: Simplify right side
    9,773.60x = 102,999,222.16
  5. Step 5: Solve for x
    x = 102,999,222.16/9,773.60
  6. Step 6: Final answer
    x = 10,538.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.