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Finding the Fourth Proportional to 7,002.42, 9,659.28 and 4,483.62

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Solution

The fourth proportional to 7,002.42, 9,659.28 and 4,483.62 is: 6,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.42 : 9,659.28 = 4,483.62 : x
  2. Step 2: Convert to fraction form
    7,002.42/9,659.28 = 4,483.62/x
  3. Step 3: Cross multiply
    7,002.42x = 9,659.28 × 4,483.62
  4. Step 4: Simplify right side
    7,002.42x = 43,308,540.99
  5. Step 5: Solve for x
    x = 43,308,540.99/7,002.42
  6. Step 6: Final answer
    x = 6,184.80

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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.