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Finding the Fourth Proportional to 10,065.87, 13,874.74 and 6,834.68

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Solution

The fourth proportional to 10,065.87, 13,874.74 and 6,834.68 is: 9,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.87 : 13,874.74 = 6,834.68 : x
  2. Step 2: Convert to fraction form
    10,065.87/13,874.74 = 6,834.68/x
  3. Step 3: Cross multiply
    10,065.87x = 13,874.74 × 6,834.68
  4. Step 4: Simplify right side
    10,065.87x = 94,829,412.00
  5. Step 5: Solve for x
    x = 94,829,412.00/10,065.87
  6. Step 6: Final answer
    x = 9,420.89

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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.