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Finding the Fourth Proportional to 7,858.32, 10,844.94 and 4,502.17

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Solution

The fourth proportional to 7,858.32, 10,844.94 and 4,502.17 is: 6,213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.32 : 10,844.94 = 4,502.17 : x
  2. Step 2: Convert to fraction form
    7,858.32/10,844.94 = 4,502.17/x
  3. Step 3: Cross multiply
    7,858.32x = 10,844.94 × 4,502.17
  4. Step 4: Simplify right side
    7,858.32x = 48,825,763.52
  5. Step 5: Solve for x
    x = 48,825,763.52/7,858.32
  6. Step 6: Final answer
    x = 6,213.26

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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.