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Finding the Fourth Proportional to 10,004.16, 15,008.06 and 5,009.14

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Solution

The fourth proportional to 10,004.16, 15,008.06 and 5,009.14 is: 7,514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.16 : 15,008.06 = 5,009.14 : x
  2. Step 2: Convert to fraction form
    10,004.16/15,008.06 = 5,009.14/x
  3. Step 3: Cross multiply
    10,004.16x = 15,008.06 × 5,009.14
  4. Step 4: Simplify right side
    10,004.16x = 75,177,473.67
  5. Step 5: Solve for x
    x = 75,177,473.67/10,004.16
  6. Step 6: Final answer
    x = 7,514.62

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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.