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Finding the Fourth Proportional to 6,294.24, 9,426.78 and 6,075.54

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Solution

The fourth proportional to 6,294.24, 9,426.78 and 6,075.54 is: 9,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.24 : 9,426.78 = 6,075.54 : x
  2. Step 2: Convert to fraction form
    6,294.24/9,426.78 = 6,075.54/x
  3. Step 3: Cross multiply
    6,294.24x = 9,426.78 × 6,075.54
  4. Step 4: Simplify right side
    6,294.24x = 57,272,778.96
  5. Step 5: Solve for x
    x = 57,272,778.96/6,294.24
  6. Step 6: Final answer
    x = 9,099.24

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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.