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Finding the Fourth Proportional to 7,342.76, 10,132.98 and 4,199

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Solution

The fourth proportional to 7,342.76, 10,132.98 and 4,199 is: 5,794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.76 : 10,132.98 = 4,199 : x
  2. Step 2: Convert to fraction form
    7,342.76/10,132.98 = 4,199/x
  3. Step 3: Cross multiply
    7,342.76x = 10,132.98 × 4,199
  4. Step 4: Simplify right side
    7,342.76x = 42,548,383.02
  5. Step 5: Solve for x
    x = 42,548,383.02/7,342.76
  6. Step 6: Final answer
    x = 5,794.60

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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.