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Finding the Fourth Proportional to 6,870.86, 9,489.66 and 4,523.48

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Solution

The fourth proportional to 6,870.86, 9,489.66 and 4,523.48 is: 6,247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.86 : 9,489.66 = 4,523.48 : x
  2. Step 2: Convert to fraction form
    6,870.86/9,489.66 = 4,523.48/x
  3. Step 3: Cross multiply
    6,870.86x = 9,489.66 × 4,523.48
  4. Step 4: Simplify right side
    6,870.86x = 42,926,287.22
  5. Step 5: Solve for x
    x = 42,926,287.22/6,870.86
  6. Step 6: Final answer
    x = 6,247.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.