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Finding the Fourth Proportional to 10,167.76, 15,237.76 and 6,220.38

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Solution

The fourth proportional to 10,167.76, 15,237.76 and 6,220.38 is: 9,322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.76 : 15,237.76 = 6,220.38 : x
  2. Step 2: Convert to fraction form
    10,167.76/15,237.76 = 6,220.38/x
  3. Step 3: Cross multiply
    10,167.76x = 15,237.76 × 6,220.38
  4. Step 4: Simplify right side
    10,167.76x = 94,784,657.55
  5. Step 5: Solve for x
    x = 94,784,657.55/10,167.76
  6. Step 6: Final answer
    x = 9,322.08

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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.