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Finding the Fourth Proportional to 9,642.15, 14,462.25 and 6,542.08

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Solution

The fourth proportional to 9,642.15, 14,462.25 and 6,542.08 is: 9,812.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.15 : 14,462.25 = 6,542.08 : x
  2. Step 2: Convert to fraction form
    9,642.15/14,462.25 = 6,542.08/x
  3. Step 3: Cross multiply
    9,642.15x = 14,462.25 × 6,542.08
  4. Step 4: Simplify right side
    9,642.15x = 94,613,135.79
  5. Step 5: Solve for x
    x = 94,613,135.79/9,642.15
  6. Step 6: Final answer
    x = 9,812.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.