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Finding the Fourth Proportional to 16,657.76, 22,986 and 9,582.80

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Solution

The fourth proportional to 16,657.76, 22,986 and 9,582.80 is: 13,223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657.76 : 22,986 = 9,582.80 : x
  2. Step 2: Convert to fraction form
    16,657.76/22,986 = 9,582.80/x
  3. Step 3: Cross multiply
    16,657.76x = 22,986 × 9,582.80
  4. Step 4: Simplify right side
    16,657.76x = 220,270,240.80
  5. Step 5: Solve for x
    x = 220,270,240.80/16,657.76
  6. Step 6: Final answer
    x = 13,223.28

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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.