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Finding the Fourth Proportional to 12,111.80, 16,714.50 and 7,332.20

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Solution

The fourth proportional to 12,111.80, 16,714.50 and 7,332.20 is: 10,118.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.80 : 16,714.50 = 7,332.20 : x
  2. Step 2: Convert to fraction form
    12,111.80/16,714.50 = 7,332.20/x
  3. Step 3: Cross multiply
    12,111.80x = 16,714.50 × 7,332.20
  4. Step 4: Simplify right side
    12,111.80x = 122,554,056.90
  5. Step 5: Solve for x
    x = 122,554,056.90/12,111.80
  6. Step 6: Final answer
    x = 10,118.57

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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.