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Finding the Fourth Proportional to 9,986.69, 13,775.87 and 7,294.46

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Solution

The fourth proportional to 9,986.69, 13,775.87 and 7,294.46 is: 10,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.69 : 13,775.87 = 7,294.46 : x
  2. Step 2: Convert to fraction form
    9,986.69/13,775.87 = 7,294.46/x
  3. Step 3: Cross multiply
    9,986.69x = 13,775.87 × 7,294.46
  4. Step 4: Simplify right side
    9,986.69x = 100,487,482.04
  5. Step 5: Solve for x
    x = 100,487,482.04/9,986.69
  6. Step 6: Final answer
    x = 10,062.14

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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.