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Finding the Fourth Proportional to 12,005.93, 16,569.02 and 6,701.78

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Solution

The fourth proportional to 12,005.93, 16,569.02 and 6,701.78 is: 9,248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.93 : 16,569.02 = 6,701.78 : x
  2. Step 2: Convert to fraction form
    12,005.93/16,569.02 = 6,701.78/x
  3. Step 3: Cross multiply
    12,005.93x = 16,569.02 × 6,701.78
  4. Step 4: Simplify right side
    12,005.93x = 111,041,926.86
  5. Step 5: Solve for x
    x = 111,041,926.86/12,005.93
  6. Step 6: Final answer
    x = 9,248.92

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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.