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Finding the Fourth Proportional to 7,459.49, 10,294.08 and 4,102.49

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Solution

The fourth proportional to 7,459.49, 10,294.08 and 4,102.49 is: 5,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.49 : 10,294.08 = 4,102.49 : x
  2. Step 2: Convert to fraction form
    7,459.49/10,294.08 = 4,102.49/x
  3. Step 3: Cross multiply
    7,459.49x = 10,294.08 × 4,102.49
  4. Step 4: Simplify right side
    7,459.49x = 42,231,308.79
  5. Step 5: Solve for x
    x = 42,231,308.79/7,459.49
  6. Step 6: Final answer
    x = 5,661.42

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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.