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Finding the Fourth Proportional to 16,641.48, 22,965 and 9,569.40

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Solution

The fourth proportional to 16,641.48, 22,965 and 9,569.40 is: 13,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,641.48 : 22,965 = 9,569.40 : x
  2. Step 2: Convert to fraction form
    16,641.48/22,965 = 9,569.40/x
  3. Step 3: Cross multiply
    16,641.48x = 22,965 × 9,569.40
  4. Step 4: Simplify right side
    16,641.48x = 219,761,271
  5. Step 5: Solve for x
    x = 219,761,271/16,641.48
  6. Step 6: Final answer
    x = 13,205.63

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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.