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Finding the Fourth Proportional to 6,894.98, 10,295.64 and 6,708.14

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Solution

The fourth proportional to 6,894.98, 10,295.64 and 6,708.14 is: 10,016.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.98 : 10,295.64 = 6,708.14 : x
  2. Step 2: Convert to fraction form
    6,894.98/10,295.64 = 6,708.14/x
  3. Step 3: Cross multiply
    6,894.98x = 10,295.64 × 6,708.14
  4. Step 4: Simplify right side
    6,894.98x = 69,064,543.03
  5. Step 5: Solve for x
    x = 69,064,543.03/6,894.98
  6. Step 6: Final answer
    x = 10,016.65

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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.