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Finding the Fourth Proportional to 12,677.80, 17,494.98 and 7,088.68

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Solution

The fourth proportional to 12,677.80, 17,494.98 and 7,088.68 is: 9,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.80 : 17,494.98 = 7,088.68 : x
  2. Step 2: Convert to fraction form
    12,677.80/17,494.98 = 7,088.68/x
  3. Step 3: Cross multiply
    12,677.80x = 17,494.98 × 7,088.68
  4. Step 4: Simplify right side
    12,677.80x = 124,016,314.83
  5. Step 5: Solve for x
    x = 124,016,314.83/12,677.80
  6. Step 6: Final answer
    x = 9,782.16

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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.