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Finding the Fourth Proportional to 12,008.46, 16,569.03 and 6,969.76

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Solution

The fourth proportional to 12,008.46, 16,569.03 and 6,969.76 is: 9,616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.46 : 16,569.03 = 6,969.76 : x
  2. Step 2: Convert to fraction form
    12,008.46/16,569.03 = 6,969.76/x
  3. Step 3: Cross multiply
    12,008.46x = 16,569.03 × 6,969.76
  4. Step 4: Simplify right side
    12,008.46x = 115,482,162.53
  5. Step 5: Solve for x
    x = 115,482,162.53/12,008.46
  6. Step 6: Final answer
    x = 9,616.73

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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.