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Finding the Fourth Proportional to 6,681.77, 10,017.32 and 3,170.02

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Solution

The fourth proportional to 6,681.77, 10,017.32 and 3,170.02 is: 4,752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.77 : 10,017.32 = 3,170.02 : x
  2. Step 2: Convert to fraction form
    6,681.77/10,017.32 = 3,170.02/x
  3. Step 3: Cross multiply
    6,681.77x = 10,017.32 × 3,170.02
  4. Step 4: Simplify right side
    6,681.77x = 31,755,054.66
  5. Step 5: Solve for x
    x = 31,755,054.66/6,681.77
  6. Step 6: Final answer
    x = 4,752.49

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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.