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Finding the Fourth Proportional to 10,040.65, 13,857.07 and 5,848.63

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Solution

The fourth proportional to 10,040.65, 13,857.07 and 5,848.63 is: 8,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.65 : 13,857.07 = 5,848.63 : x
  2. Step 2: Convert to fraction form
    10,040.65/13,857.07 = 5,848.63/x
  3. Step 3: Cross multiply
    10,040.65x = 13,857.07 × 5,848.63
  4. Step 4: Simplify right side
    10,040.65x = 81,044,875.31
  5. Step 5: Solve for x
    x = 81,044,875.31/10,040.65
  6. Step 6: Final answer
    x = 8,071.68

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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.