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Finding the Fourth Proportional to 11,337.02, 15,638.02 and 7,794.08

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Solution

The fourth proportional to 11,337.02, 15,638.02 and 7,794.08 is: 10,750.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.02 : 15,638.02 = 7,794.08 : x
  2. Step 2: Convert to fraction form
    11,337.02/15,638.02 = 7,794.08/x
  3. Step 3: Cross multiply
    11,337.02x = 15,638.02 × 7,794.08
  4. Step 4: Simplify right side
    11,337.02x = 121,883,978.92
  5. Step 5: Solve for x
    x = 121,883,978.92/11,337.02
  6. Step 6: Final answer
    x = 10,750.97

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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.