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Finding the Fourth Proportional to 7,242.84, 9,996.42 and 4,259.46

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Solution

The fourth proportional to 7,242.84, 9,996.42 and 4,259.46 is: 5,878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.84 : 9,996.42 = 4,259.46 : x
  2. Step 2: Convert to fraction form
    7,242.84/9,996.42 = 4,259.46/x
  3. Step 3: Cross multiply
    7,242.84x = 9,996.42 × 4,259.46
  4. Step 4: Simplify right side
    7,242.84x = 42,579,351.13
  5. Step 5: Solve for x
    x = 42,579,351.13/7,242.84
  6. Step 6: Final answer
    x = 5,878.82

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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.