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Finding the Fourth Proportional to 8,143.61, 12,203.11 and 6,053.81

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Solution

The fourth proportional to 8,143.61, 12,203.11 and 6,053.81 is: 9,071.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.61 : 12,203.11 = 6,053.81 : x
  2. Step 2: Convert to fraction form
    8,143.61/12,203.11 = 6,053.81/x
  3. Step 3: Cross multiply
    8,143.61x = 12,203.11 × 6,053.81
  4. Step 4: Simplify right side
    8,143.61x = 73,875,301.66
  5. Step 5: Solve for x
    x = 73,875,301.66/8,143.61
  6. Step 6: Final answer
    x = 9,071.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.