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Finding the Fourth Proportional to 10,785, 14,881.68 and 6,069.18

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Solution

The fourth proportional to 10,785, 14,881.68 and 6,069.18 is: 8,374.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785 : 14,881.68 = 6,069.18 : x
  2. Step 2: Convert to fraction form
    10,785/14,881.68 = 6,069.18/x
  3. Step 3: Cross multiply
    10,785x = 14,881.68 × 6,069.18
  4. Step 4: Simplify right side
    10,785x = 90,319,594.62
  5. Step 5: Solve for x
    x = 90,319,594.62/10,785
  6. Step 6: Final answer
    x = 8,374.56

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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.