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Finding the Fourth Proportional to 6,859.84, 9,466.58 and 4,065.88

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Solution

The fourth proportional to 6,859.84, 9,466.58 and 4,065.88 is: 5,610.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.84 : 9,466.58 = 4,065.88 : x
  2. Step 2: Convert to fraction form
    6,859.84/9,466.58 = 4,065.88/x
  3. Step 3: Cross multiply
    6,859.84x = 9,466.58 × 4,065.88
  4. Step 4: Simplify right side
    6,859.84x = 38,489,978.29
  5. Step 5: Solve for x
    x = 38,489,978.29/6,859.84
  6. Step 6: Final answer
    x = 5,610.91

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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.