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Finding the Fourth Proportional to 8,403.76, 11,597.76 and 5,566.24

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Solution

The fourth proportional to 8,403.76, 11,597.76 and 5,566.24 is: 7,681.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403.76 : 11,597.76 = 5,566.24 : x
  2. Step 2: Convert to fraction form
    8,403.76/11,597.76 = 5,566.24/x
  3. Step 3: Cross multiply
    8,403.76x = 11,597.76 × 5,566.24
  4. Step 4: Simplify right side
    8,403.76x = 64,555,915.62
  5. Step 5: Solve for x
    x = 64,555,915.62/8,403.76
  6. Step 6: Final answer
    x = 7,681.79

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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.