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Finding the Fourth Proportional to 9,569.88, 14,337.84 and 8,169.16

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Solution

The fourth proportional to 9,569.88, 14,337.84 and 8,169.16 is: 12,239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.88 : 14,337.84 = 8,169.16 : x
  2. Step 2: Convert to fraction form
    9,569.88/14,337.84 = 8,169.16/x
  3. Step 3: Cross multiply
    9,569.88x = 14,337.84 × 8,169.16
  4. Step 4: Simplify right side
    9,569.88x = 117,128,109.01
  5. Step 5: Solve for x
    x = 117,128,109.01/9,569.88
  6. Step 6: Final answer
    x = 12,239.25

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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.