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Finding the Fourth Proportional to 6,400.40, 8,834.12 and 4,276.04

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Solution

The fourth proportional to 6,400.40, 8,834.12 and 4,276.04 is: 5,901.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.40 : 8,834.12 = 4,276.04 : x
  2. Step 2: Convert to fraction form
    6,400.40/8,834.12 = 4,276.04/x
  3. Step 3: Cross multiply
    6,400.40x = 8,834.12 × 4,276.04
  4. Step 4: Simplify right side
    6,400.40x = 37,775,050.48
  5. Step 5: Solve for x
    x = 37,775,050.48/6,400.40
  6. Step 6: Final answer
    x = 5,901.98

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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.