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Finding the Fourth Proportional to 9,255.16, 12,749.97 and 7,655.14

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Solution

The fourth proportional to 9,255.16, 12,749.97 and 7,655.14 is: 10,545.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.16 : 12,749.97 = 7,655.14 : x
  2. Step 2: Convert to fraction form
    9,255.16/12,749.97 = 7,655.14/x
  3. Step 3: Cross multiply
    9,255.16x = 12,749.97 × 7,655.14
  4. Step 4: Simplify right side
    9,255.16x = 97,602,805.35
  5. Step 5: Solve for x
    x = 97,602,805.35/9,255.16
  6. Step 6: Final answer
    x = 10,545.77

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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.