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Finding the Fourth Proportional to 7,365.42, 10,141.02 and 6,502.14

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Solution

The fourth proportional to 7,365.42, 10,141.02 and 6,502.14 is: 8,952.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365.42 : 10,141.02 = 6,502.14 : x
  2. Step 2: Convert to fraction form
    7,365.42/10,141.02 = 6,502.14/x
  3. Step 3: Cross multiply
    7,365.42x = 10,141.02 × 6,502.14
  4. Step 4: Simplify right side
    7,365.42x = 65,938,331.78
  5. Step 5: Solve for x
    x = 65,938,331.78/7,365.42
  6. Step 6: Final answer
    x = 8,952.42

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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.