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Finding the Fourth Proportional to 9,051.30, 13,569.66 and 8,322.30

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Solution

The fourth proportional to 9,051.30, 13,569.66 and 8,322.30 is: 12,476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.30 : 13,569.66 = 8,322.30 : x
  2. Step 2: Convert to fraction form
    9,051.30/13,569.66 = 8,322.30/x
  3. Step 3: Cross multiply
    9,051.30x = 13,569.66 × 8,322.30
  4. Step 4: Simplify right side
    9,051.30x = 112,930,781.42
  5. Step 5: Solve for x
    x = 112,930,781.42/9,051.30
  6. Step 6: Final answer
    x = 12,476.75

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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.