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Finding the Fourth Proportional to 7,497.96, 10,341.59 and 6,648.20

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Solution

The fourth proportional to 7,497.96, 10,341.59 and 6,648.20 is: 9,169.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.96 : 10,341.59 = 6,648.20 : x
  2. Step 2: Convert to fraction form
    7,497.96/10,341.59 = 6,648.20/x
  3. Step 3: Cross multiply
    7,497.96x = 10,341.59 × 6,648.20
  4. Step 4: Simplify right side
    7,497.96x = 68,752,958.64
  5. Step 5: Solve for x
    x = 68,752,958.64/7,497.96
  6. Step 6: Final answer
    x = 9,169.56

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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.