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Finding the Fourth Proportional to 10,697.70, 16,054.65 and 6,998.70

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Solution

The fourth proportional to 10,697.70, 16,054.65 and 6,998.70 is: 10,503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.70 : 16,054.65 = 6,998.70 : x
  2. Step 2: Convert to fraction form
    10,697.70/16,054.65 = 6,998.70/x
  3. Step 3: Cross multiply
    10,697.70x = 16,054.65 × 6,998.70
  4. Step 4: Simplify right side
    10,697.70x = 112,361,678.96
  5. Step 5: Solve for x
    x = 112,361,678.96/10,697.70
  6. Step 6: Final answer
    x = 10,503.35

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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.