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Finding the Fourth Proportional to 10,065, 13,889.70 and 5,873.28

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Solution

The fourth proportional to 10,065, 13,889.70 and 5,873.28 is: 8,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065 : 13,889.70 = 5,873.28 : x
  2. Step 2: Convert to fraction form
    10,065/13,889.70 = 5,873.28/x
  3. Step 3: Cross multiply
    10,065x = 13,889.70 × 5,873.28
  4. Step 4: Simplify right side
    10,065x = 81,578,097.22
  5. Step 5: Solve for x
    x = 81,578,097.22/10,065
  6. Step 6: Final answer
    x = 8,105.13

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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.