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Finding the Fourth Proportional to 6,854.29, 10,285.53 and 6,296.61

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Solution

The fourth proportional to 6,854.29, 10,285.53 and 6,296.61 is: 9,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.29 : 10,285.53 = 6,296.61 : x
  2. Step 2: Convert to fraction form
    6,854.29/10,285.53 = 6,296.61/x
  3. Step 3: Cross multiply
    6,854.29x = 10,285.53 × 6,296.61
  4. Step 4: Simplify right side
    6,854.29x = 64,763,919.63
  5. Step 5: Solve for x
    x = 64,763,919.63/6,854.29
  6. Step 6: Final answer
    x = 9,448.67

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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.