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Finding the Fourth Proportional to 10,377, 14,321.44 and 5,901.40

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Solution

The fourth proportional to 10,377, 14,321.44 and 5,901.40 is: 8,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377 : 14,321.44 = 5,901.40 : x
  2. Step 2: Convert to fraction form
    10,377/14,321.44 = 5,901.40/x
  3. Step 3: Cross multiply
    10,377x = 14,321.44 × 5,901.40
  4. Step 4: Simplify right side
    10,377x = 84,516,546.02
  5. Step 5: Solve for x
    x = 84,516,546.02/10,377
  6. Step 6: Final answer
    x = 8,144.60

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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.