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Finding the Fourth Proportional to 11,543.98, 15,929.74 and 6,509.44

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Solution

The fourth proportional to 11,543.98, 15,929.74 and 6,509.44 is: 8,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.98 : 15,929.74 = 6,509.44 : x
  2. Step 2: Convert to fraction form
    11,543.98/15,929.74 = 6,509.44/x
  3. Step 3: Cross multiply
    11,543.98x = 15,929.74 × 6,509.44
  4. Step 4: Simplify right side
    11,543.98x = 103,693,686.75
  5. Step 5: Solve for x
    x = 103,693,686.75/11,543.98
  6. Step 6: Final answer
    x = 8,982.49

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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.