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Finding the Fourth Proportional to 10,697.70, 14,998.65 and 10,697.70

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Solution

The fourth proportional to 10,697.70, 14,998.65 and 10,697.70 is: 14,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.70 : 14,998.65 = 10,697.70 : x
  2. Step 2: Convert to fraction form
    10,697.70/14,998.65 = 10,697.70/x
  3. Step 3: Cross multiply
    10,697.70x = 14,998.65 × 10,697.70
  4. Step 4: Simplify right side
    10,697.70x = 160,451,058.11
  5. Step 5: Solve for x
    x = 160,451,058.11/10,697.70
  6. Step 6: Final answer
    x = 14,998.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.