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Finding the Fourth Proportional to 8,089.76, 12,126 and 5,774.24

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Solution

The fourth proportional to 8,089.76, 12,126 and 5,774.24 is: 8,655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.76 : 12,126 = 5,774.24 : x
  2. Step 2: Convert to fraction form
    8,089.76/12,126 = 5,774.24/x
  3. Step 3: Cross multiply
    8,089.76x = 12,126 × 5,774.24
  4. Step 4: Simplify right side
    8,089.76x = 70,018,434.24
  5. Step 5: Solve for x
    x = 70,018,434.24/8,089.76
  6. Step 6: Final answer
    x = 8,655.19

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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.