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Finding the Fourth Proportional to 9,347.97, 12,899.57 and 5,155.65

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Solution

The fourth proportional to 9,347.97, 12,899.57 and 5,155.65 is: 7,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.97 : 12,899.57 = 5,155.65 : x
  2. Step 2: Convert to fraction form
    9,347.97/12,899.57 = 5,155.65/x
  3. Step 3: Cross multiply
    9,347.97x = 12,899.57 × 5,155.65
  4. Step 4: Simplify right side
    9,347.97x = 66,505,642.29
  5. Step 5: Solve for x
    x = 66,505,642.29/9,347.97
  6. Step 6: Final answer
    x = 7,114.45

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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.