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Finding the Fourth Proportional to 10,593.79, 14,619.76 and 6,117.46

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Solution

The fourth proportional to 10,593.79, 14,619.76 and 6,117.46 is: 8,442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.79 : 14,619.76 = 6,117.46 : x
  2. Step 2: Convert to fraction form
    10,593.79/14,619.76 = 6,117.46/x
  3. Step 3: Cross multiply
    10,593.79x = 14,619.76 × 6,117.46
  4. Step 4: Simplify right side
    10,593.79x = 89,435,745.17
  5. Step 5: Solve for x
    x = 89,435,745.17/10,593.79
  6. Step 6: Final answer
    x = 8,442.28

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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.