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Finding the Fourth Proportional to 7,353.84, 10,146 and 4,209.42

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Solution

The fourth proportional to 7,353.84, 10,146 and 4,209.42 is: 5,807.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,353.84 : 10,146 = 4,209.42 : x
  2. Step 2: Convert to fraction form
    7,353.84/10,146 = 4,209.42/x
  3. Step 3: Cross multiply
    7,353.84x = 10,146 × 4,209.42
  4. Step 4: Simplify right side
    7,353.84x = 42,708,775.32
  5. Step 5: Solve for x
    x = 42,708,775.32/7,353.84
  6. Step 6: Final answer
    x = 5,807.68

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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.