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Finding the Fourth Proportional to 7,475.08, 10,314.08 and 5,682.07

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Solution

The fourth proportional to 7,475.08, 10,314.08 and 5,682.07 is: 7,840.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.08 : 10,314.08 = 5,682.07 : x
  2. Step 2: Convert to fraction form
    7,475.08/10,314.08 = 5,682.07/x
  3. Step 3: Cross multiply
    7,475.08x = 10,314.08 × 5,682.07
  4. Step 4: Simplify right side
    7,475.08x = 58,605,391.31
  5. Step 5: Solve for x
    x = 58,605,391.31/7,475.08
  6. Step 6: Final answer
    x = 7,840.11

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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.