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Finding the Fourth Proportional to 10,090, 13,925.42 and 5,898.25

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Solution

The fourth proportional to 10,090, 13,925.42 and 5,898.25 is: 8,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090 : 13,925.42 = 5,898.25 : x
  2. Step 2: Convert to fraction form
    10,090/13,925.42 = 5,898.25/x
  3. Step 3: Cross multiply
    10,090x = 13,925.42 × 5,898.25
  4. Step 4: Simplify right side
    10,090x = 82,135,579.02
  5. Step 5: Solve for x
    x = 82,135,579.02/10,090
  6. Step 6: Final answer
    x = 8,140.30

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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.