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Finding the Fourth Proportional to 9,502.55, 14,237.46 and 6,724.65

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Solution

The fourth proportional to 9,502.55, 14,237.46 and 6,724.65 is: 10,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.55 : 14,237.46 = 6,724.65 : x
  2. Step 2: Convert to fraction form
    9,502.55/14,237.46 = 6,724.65/x
  3. Step 3: Cross multiply
    9,502.55x = 14,237.46 × 6,724.65
  4. Step 4: Simplify right side
    9,502.55x = 95,741,935.39
  5. Step 5: Solve for x
    x = 95,741,935.39/9,502.55
  6. Step 6: Final answer
    x = 10,075.39

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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.