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Finding the Fourth Proportional to 15,140.66, 22,696.23 and 7,241.12

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Solution

The fourth proportional to 15,140.66, 22,696.23 and 7,241.12 is: 10,854.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140.66 : 22,696.23 = 7,241.12 : x
  2. Step 2: Convert to fraction form
    15,140.66/22,696.23 = 7,241.12/x
  3. Step 3: Cross multiply
    15,140.66x = 22,696.23 × 7,241.12
  4. Step 4: Simplify right side
    15,140.66x = 164,346,011.50
  5. Step 5: Solve for x
    x = 164,346,011.50/15,140.66
  6. Step 6: Final answer
    x = 10,854.62

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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.