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Finding the Fourth Proportional to 9,287, 12,816.08 and 5,095.24

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Solution

The fourth proportional to 9,287, 12,816.08 and 5,095.24 is: 7,031.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287 : 12,816.08 = 5,095.24 : x
  2. Step 2: Convert to fraction form
    9,287/12,816.08 = 5,095.24/x
  3. Step 3: Cross multiply
    9,287x = 12,816.08 × 5,095.24
  4. Step 4: Simplify right side
    9,287x = 65,301,003.46
  5. Step 5: Solve for x
    x = 65,301,003.46/9,287
  6. Step 6: Final answer
    x = 7,031.44

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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.