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Finding the Fourth Proportional to 27,312.63, 40,971.17 and 7,591.18

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Solution

The fourth proportional to 27,312.63, 40,971.17 and 7,591.18 is: 11,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,312.63 : 40,971.17 = 7,591.18 : x
  2. Step 2: Convert to fraction form
    27,312.63/40,971.17 = 7,591.18/x
  3. Step 3: Cross multiply
    27,312.63x = 40,971.17 × 7,591.18
  4. Step 4: Simplify right side
    27,312.63x = 311,019,526.28
  5. Step 5: Solve for x
    x = 311,019,526.28/27,312.63
  6. Step 6: Final answer
    x = 11,387.39

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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.