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Finding the Fourth Proportional to 9,565.84, 13,023.85 and 9,536.22

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Solution

The fourth proportional to 9,565.84, 13,023.85 and 9,536.22 is: 12,983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.84 : 13,023.85 = 9,536.22 : x
  2. Step 2: Convert to fraction form
    9,565.84/13,023.85 = 9,536.22/x
  3. Step 3: Cross multiply
    9,565.84x = 13,023.85 × 9,536.22
  4. Step 4: Simplify right side
    9,565.84x = 124,198,275.01
  5. Step 5: Solve for x
    x = 124,198,275.01/9,565.84
  6. Step 6: Final answer
    x = 12,983.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.