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Finding the Fourth Proportional to 10,830.03, 14,947.92 and 6,353.97

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Solution

The fourth proportional to 10,830.03, 14,947.92 and 6,353.97 is: 8,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.03 : 14,947.92 = 6,353.97 : x
  2. Step 2: Convert to fraction form
    10,830.03/14,947.92 = 6,353.97/x
  3. Step 3: Cross multiply
    10,830.03x = 14,947.92 × 6,353.97
  4. Step 4: Simplify right side
    10,830.03x = 94,978,635.24
  5. Step 5: Solve for x
    x = 94,978,635.24/10,830.03
  6. Step 6: Final answer
    x = 8,769.93

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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.