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Finding the Fourth Proportional to 11,702.92, 17,559.02 and 5,130.14

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Solution

The fourth proportional to 11,702.92, 17,559.02 and 5,130.14 is: 7,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.92 : 17,559.02 = 5,130.14 : x
  2. Step 2: Convert to fraction form
    11,702.92/17,559.02 = 5,130.14/x
  3. Step 3: Cross multiply
    11,702.92x = 17,559.02 × 5,130.14
  4. Step 4: Simplify right side
    11,702.92x = 90,080,230.86
  5. Step 5: Solve for x
    x = 90,080,230.86/11,702.92
  6. Step 6: Final answer
    x = 7,697.24

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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.