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Finding the Fourth Proportional to 9,357.59, 12,913.47 and 5,165.84

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Solution

The fourth proportional to 9,357.59, 12,913.47 and 5,165.84 is: 7,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.59 : 12,913.47 = 5,165.84 : x
  2. Step 2: Convert to fraction form
    9,357.59/12,913.47 = 5,165.84/x
  3. Step 3: Cross multiply
    9,357.59x = 12,913.47 × 5,165.84
  4. Step 4: Simplify right side
    9,357.59x = 66,708,919.86
  5. Step 5: Solve for x
    x = 66,708,919.86/9,357.59
  6. Step 6: Final answer
    x = 7,128.86

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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.