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Finding the Fourth Proportional to 7,002.22, 9,662.68 and 4,349.58

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Solution

The fourth proportional to 7,002.22, 9,662.68 and 4,349.58 is: 6,002.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.22 : 9,662.68 = 4,349.58 : x
  2. Step 2: Convert to fraction form
    7,002.22/9,662.68 = 4,349.58/x
  3. Step 3: Cross multiply
    7,002.22x = 9,662.68 × 4,349.58
  4. Step 4: Simplify right side
    7,002.22x = 42,028,529.61
  5. Step 5: Solve for x
    x = 42,028,529.61/7,002.22
  6. Step 6: Final answer
    x = 6,002.18

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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.