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Finding the Fourth Proportional to 6,894.60, 10,329.70 and 6,666.20

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Solution

The fourth proportional to 6,894.60, 10,329.70 and 6,666.20 is: 9,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.60 : 10,329.70 = 6,666.20 : x
  2. Step 2: Convert to fraction form
    6,894.60/10,329.70 = 6,666.20/x
  3. Step 3: Cross multiply
    6,894.60x = 10,329.70 × 6,666.20
  4. Step 4: Simplify right side
    6,894.60x = 68,859,846.14
  5. Step 5: Solve for x
    x = 68,859,846.14/6,894.60
  6. Step 6: Final answer
    x = 9,987.50

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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.