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Finding the Fourth Proportional to 10,041.15, 13,849.90 and 5,849.40

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Solution

The fourth proportional to 10,041.15, 13,849.90 and 5,849.40 is: 8,068.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.15 : 13,849.90 = 5,849.40 : x
  2. Step 2: Convert to fraction form
    10,041.15/13,849.90 = 5,849.40/x
  3. Step 3: Cross multiply
    10,041.15x = 13,849.90 × 5,849.40
  4. Step 4: Simplify right side
    10,041.15x = 81,013,605.06
  5. Step 5: Solve for x
    x = 81,013,605.06/10,041.15
  6. Step 6: Final answer
    x = 8,068.16

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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.