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Finding the Fourth Proportional to 12,053.92, 16,635.98 and 7,018.22

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Solution

The fourth proportional to 12,053.92, 16,635.98 and 7,018.22 is: 9,686.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.92 : 16,635.98 = 7,018.22 : x
  2. Step 2: Convert to fraction form
    12,053.92/16,635.98 = 7,018.22/x
  3. Step 3: Cross multiply
    12,053.92x = 16,635.98 × 7,018.22
  4. Step 4: Simplify right side
    12,053.92x = 116,754,957.70
  5. Step 5: Solve for x
    x = 116,754,957.70/12,053.92
  6. Step 6: Final answer
    x = 9,686.06

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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.