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Finding the Fourth Proportional to 9,565.92, 13,198.64 and 7,330.32

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Solution

The fourth proportional to 9,565.92, 13,198.64 and 7,330.32 is: 10,114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.92 : 13,198.64 = 7,330.32 : x
  2. Step 2: Convert to fraction form
    9,565.92/13,198.64 = 7,330.32/x
  3. Step 3: Cross multiply
    9,565.92x = 13,198.64 × 7,330.32
  4. Step 4: Simplify right side
    9,565.92x = 96,750,254.76
  5. Step 5: Solve for x
    x = 96,750,254.76/9,565.92
  6. Step 6: Final answer
    x = 10,114.06

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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.