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Finding the Fourth Proportional to 6,312.25, 9,473.51 and 5,393.71

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Solution

The fourth proportional to 6,312.25, 9,473.51 and 5,393.71 is: 8,094.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.25 : 9,473.51 = 5,393.71 : x
  2. Step 2: Convert to fraction form
    6,312.25/9,473.51 = 5,393.71/x
  3. Step 3: Cross multiply
    6,312.25x = 9,473.51 × 5,393.71
  4. Step 4: Simplify right side
    6,312.25x = 51,097,338.65
  5. Step 5: Solve for x
    x = 51,097,338.65/6,312.25
  6. Step 6: Final answer
    x = 8,094.95

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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.