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Finding the Fourth Proportional to 9,973.67, 13,763.43 and 5,497.29

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Solution

The fourth proportional to 9,973.67, 13,763.43 and 5,497.29 is: 7,586.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.67 : 13,763.43 = 5,497.29 : x
  2. Step 2: Convert to fraction form
    9,973.67/13,763.43 = 5,497.29/x
  3. Step 3: Cross multiply
    9,973.67x = 13,763.43 × 5,497.29
  4. Step 4: Simplify right side
    9,973.67x = 75,661,566.10
  5. Step 5: Solve for x
    x = 75,661,566.10/9,973.67
  6. Step 6: Final answer
    x = 7,586.13

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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.