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Finding the Fourth Proportional to 10,585.44, 14,607.74 and 5,869.80

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Solution

The fourth proportional to 10,585.44, 14,607.74 and 5,869.80 is: 8,100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.44 : 14,607.74 = 5,869.80 : x
  2. Step 2: Convert to fraction form
    10,585.44/14,607.74 = 5,869.80/x
  3. Step 3: Cross multiply
    10,585.44x = 14,607.74 × 5,869.80
  4. Step 4: Simplify right side
    10,585.44x = 85,744,512.25
  5. Step 5: Solve for x
    x = 85,744,512.25/10,585.44
  6. Step 6: Final answer
    x = 8,100.23

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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.