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Finding the Fourth Proportional to 7,147.04, 9,855.47 and 5,652.59

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Solution

The fourth proportional to 7,147.04, 9,855.47 and 5,652.59 is: 7,794.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.04 : 9,855.47 = 5,652.59 : x
  2. Step 2: Convert to fraction form
    7,147.04/9,855.47 = 5,652.59/x
  3. Step 3: Cross multiply
    7,147.04x = 9,855.47 × 5,652.59
  4. Step 4: Simplify right side
    7,147.04x = 55,708,896.02
  5. Step 5: Solve for x
    x = 55,708,896.02/7,147.04
  6. Step 6: Final answer
    x = 7,794.69

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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.