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Finding the Fourth Proportional to 6,005.70, 9,000.27 and 4,972.14

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Solution

The fourth proportional to 6,005.70, 9,000.27 and 4,972.14 is: 7,451.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.70 : 9,000.27 = 4,972.14 : x
  2. Step 2: Convert to fraction form
    6,005.70/9,000.27 = 4,972.14/x
  3. Step 3: Cross multiply
    6,005.70x = 9,000.27 × 4,972.14
  4. Step 4: Simplify right side
    6,005.70x = 44,750,602.48
  5. Step 5: Solve for x
    x = 44,750,602.48/6,005.70
  6. Step 6: Final answer
    x = 7,451.35

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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.