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Finding the Fourth Proportional to 9,751.98, 13,457.73 and 5,275.73

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Solution

The fourth proportional to 9,751.98, 13,457.73 and 5,275.73 is: 7,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.98 : 13,457.73 = 5,275.73 : x
  2. Step 2: Convert to fraction form
    9,751.98/13,457.73 = 5,275.73/x
  3. Step 3: Cross multiply
    9,751.98x = 13,457.73 × 5,275.73
  4. Step 4: Simplify right side
    9,751.98x = 70,999,373.65
  5. Step 5: Solve for x
    x = 70,999,373.65/9,751.98
  6. Step 6: Final answer
    x = 7,280.51

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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.