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Finding the Fourth Proportional to 10,447.40, 15,685 and 6,068

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Solution

The fourth proportional to 10,447.40, 15,685 and 6,068 is: 9,110.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.40 : 15,685 = 6,068 : x
  2. Step 2: Convert to fraction form
    10,447.40/15,685 = 6,068/x
  3. Step 3: Cross multiply
    10,447.40x = 15,685 × 6,068
  4. Step 4: Simplify right side
    10,447.40x = 95,176,580
  5. Step 5: Solve for x
    x = 95,176,580/10,447.40
  6. Step 6: Final answer
    x = 9,110.07

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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.