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Finding the Fourth Proportional to 23,097.84, 34,646.76 and 8,306.76

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Solution

The fourth proportional to 23,097.84, 34,646.76 and 8,306.76 is: 12,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097.84 : 34,646.76 = 8,306.76 : x
  2. Step 2: Convert to fraction form
    23,097.84/34,646.76 = 8,306.76/x
  3. Step 3: Cross multiply
    23,097.84x = 34,646.76 × 8,306.76
  4. Step 4: Simplify right side
    23,097.84x = 287,802,320.10
  5. Step 5: Solve for x
    x = 287,802,320.10/23,097.84
  6. Step 6: Final answer
    x = 12,460.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.