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Finding the Fourth Proportional to 6,972.76, 10,397.63 and 6,005.08

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Solution

The fourth proportional to 6,972.76, 10,397.63 and 6,005.08 is: 8,954.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.76 : 10,397.63 = 6,005.08 : x
  2. Step 2: Convert to fraction form
    6,972.76/10,397.63 = 6,005.08/x
  3. Step 3: Cross multiply
    6,972.76x = 10,397.63 × 6,005.08
  4. Step 4: Simplify right side
    6,972.76x = 62,438,599.96
  5. Step 5: Solve for x
    x = 62,438,599.96/6,972.76
  6. Step 6: Final answer
    x = 8,954.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.