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Finding the Fourth Proportional to 8,365.79, 12,532.41 and 4,656.80

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Solution

The fourth proportional to 8,365.79, 12,532.41 and 4,656.80 is: 6,976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.79 : 12,532.41 = 4,656.80 : x
  2. Step 2: Convert to fraction form
    8,365.79/12,532.41 = 4,656.80/x
  3. Step 3: Cross multiply
    8,365.79x = 12,532.41 × 4,656.80
  4. Step 4: Simplify right side
    8,365.79x = 58,360,864.23
  5. Step 5: Solve for x
    x = 58,360,864.23/8,365.79
  6. Step 6: Final answer
    x = 6,976.14

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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.