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Finding the Fourth Proportional to 8,597.42, 11,869.61 and 5,618.24

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Solution

The fourth proportional to 8,597.42, 11,869.61 and 5,618.24 is: 7,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.42 : 11,869.61 = 5,618.24 : x
  2. Step 2: Convert to fraction form
    8,597.42/11,869.61 = 5,618.24/x
  3. Step 3: Cross multiply
    8,597.42x = 11,869.61 × 5,618.24
  4. Step 4: Simplify right side
    8,597.42x = 66,686,258.34
  5. Step 5: Solve for x
    x = 66,686,258.34/8,597.42
  6. Step 6: Final answer
    x = 7,756.55

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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.