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Finding the Fourth Proportional to 6,813.60, 9,400.32 and 5,048.16

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Solution

The fourth proportional to 6,813.60, 9,400.32 and 5,048.16 is: 6,964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.60 : 9,400.32 = 5,048.16 : x
  2. Step 2: Convert to fraction form
    6,813.60/9,400.32 = 5,048.16/x
  3. Step 3: Cross multiply
    6,813.60x = 9,400.32 × 5,048.16
  4. Step 4: Simplify right side
    6,813.60x = 47,454,319.41
  5. Step 5: Solve for x
    x = 47,454,319.41/6,813.60
  6. Step 6: Final answer
    x = 6,964.65

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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.