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Finding the Fourth Proportional to 10,594.56, 14,620 and 5,878.80

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Solution

The fourth proportional to 10,594.56, 14,620 and 5,878.80 is: 8,112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.56 : 14,620 = 5,878.80 : x
  2. Step 2: Convert to fraction form
    10,594.56/14,620 = 5,878.80/x
  3. Step 3: Cross multiply
    10,594.56x = 14,620 × 5,878.80
  4. Step 4: Simplify right side
    10,594.56x = 85,948,056
  5. Step 5: Solve for x
    x = 85,948,056/10,594.56
  6. Step 6: Final answer
    x = 8,112.47

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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.