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Finding the Fourth Proportional to 8,513.58, 12,778.10 and 4,356.46

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Solution

The fourth proportional to 8,513.58, 12,778.10 and 4,356.46 is: 6,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.58 : 12,778.10 = 4,356.46 : x
  2. Step 2: Convert to fraction form
    8,513.58/12,778.10 = 4,356.46/x
  3. Step 3: Cross multiply
    8,513.58x = 12,778.10 × 4,356.46
  4. Step 4: Simplify right side
    8,513.58x = 55,667,259.74
  5. Step 5: Solve for x
    x = 55,667,259.74/8,513.58
  6. Step 6: Final answer
    x = 6,538.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.