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Finding the Fourth Proportional to 6,897.01, 10,345.85 and 1,966.99

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Solution

The fourth proportional to 6,897.01, 10,345.85 and 1,966.99 is: 2,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.01 : 10,345.85 = 1,966.99 : x
  2. Step 2: Convert to fraction form
    6,897.01/10,345.85 = 1,966.99/x
  3. Step 3: Cross multiply
    6,897.01x = 10,345.85 × 1,966.99
  4. Step 4: Simplify right side
    6,897.01x = 20,350,183.49
  5. Step 5: Solve for x
    x = 20,350,183.49/6,897.01
  6. Step 6: Final answer
    x = 2,950.58

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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.