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Finding the Fourth Proportional to 5,302.68, 7,314.75 and 4,927.25

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Solution

The fourth proportional to 5,302.68, 7,314.75 and 4,927.25 is: 6,796.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.68 : 7,314.75 = 4,927.25 : x
  2. Step 2: Convert to fraction form
    5,302.68/7,314.75 = 4,927.25/x
  3. Step 3: Cross multiply
    5,302.68x = 7,314.75 × 4,927.25
  4. Step 4: Simplify right side
    5,302.68x = 36,041,565.36
  5. Step 5: Solve for x
    x = 36,041,565.36/5,302.68
  6. Step 6: Final answer
    x = 6,796.86

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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.