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Finding the Fourth Proportional to 12,151.84, 16,773.76 and 7,117.68

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Solution

The fourth proportional to 12,151.84, 16,773.76 and 7,117.68 is: 9,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.84 : 16,773.76 = 7,117.68 : x
  2. Step 2: Convert to fraction form
    12,151.84/16,773.76 = 7,117.68/x
  3. Step 3: Cross multiply
    12,151.84x = 16,773.76 × 7,117.68
  4. Step 4: Simplify right side
    12,151.84x = 119,390,256.08
  5. Step 5: Solve for x
    x = 119,390,256.08/12,151.84
  6. Step 6: Final answer
    x = 9,824.87

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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.