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Finding the Fourth Proportional to 7,866.42, 10,867.59 and 5,873.54

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Solution

The fourth proportional to 7,866.42, 10,867.59 and 5,873.54 is: 8,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.42 : 10,867.59 = 5,873.54 : x
  2. Step 2: Convert to fraction form
    7,866.42/10,867.59 = 5,873.54/x
  3. Step 3: Cross multiply
    7,866.42x = 10,867.59 × 5,873.54
  4. Step 4: Simplify right side
    7,866.42x = 63,831,170.23
  5. Step 5: Solve for x
    x = 63,831,170.23/7,866.42
  6. Step 6: Final answer
    x = 8,114.39

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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.