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Finding the Fourth Proportional to 8,365.42, 11,543.34 and 4,829.80

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Solution

The fourth proportional to 8,365.42, 11,543.34 and 4,829.80 is: 6,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.42 : 11,543.34 = 4,829.80 : x
  2. Step 2: Convert to fraction form
    8,365.42/11,543.34 = 4,829.80/x
  3. Step 3: Cross multiply
    8,365.42x = 11,543.34 × 4,829.80
  4. Step 4: Simplify right side
    8,365.42x = 55,752,023.53
  5. Step 5: Solve for x
    x = 55,752,023.53/8,365.42
  6. Step 6: Final answer
    x = 6,664.58

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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.