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Finding the Fourth Proportional to 9,242.75, 12,764.32 and 5,887.08

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Solution

The fourth proportional to 9,242.75, 12,764.32 and 5,887.08 is: 8,130.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.75 : 12,764.32 = 5,887.08 : x
  2. Step 2: Convert to fraction form
    9,242.75/12,764.32 = 5,887.08/x
  3. Step 3: Cross multiply
    9,242.75x = 12,764.32 × 5,887.08
  4. Step 4: Simplify right side
    9,242.75x = 75,144,543.52
  5. Step 5: Solve for x
    x = 75,144,543.52/9,242.75
  6. Step 6: Final answer
    x = 8,130.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.