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Finding the Fourth Proportional to 9,901.90, 14,848.20 and 5,743.08

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Solution

The fourth proportional to 9,901.90, 14,848.20 and 5,743.08 is: 8,611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.90 : 14,848.20 = 5,743.08 : x
  2. Step 2: Convert to fraction form
    9,901.90/14,848.20 = 5,743.08/x
  3. Step 3: Cross multiply
    9,901.90x = 14,848.20 × 5,743.08
  4. Step 4: Simplify right side
    9,901.90x = 85,274,400.46
  5. Step 5: Solve for x
    x = 85,274,400.46/9,901.90
  6. Step 6: Final answer
    x = 8,611.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.