Home / 10,026-13,836.08-5,549.64

Finding the Fourth Proportional to 10,026, 13,836.08 and 5,549.64

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Solution

The fourth proportional to 10,026, 13,836.08 and 5,549.64 is: 7,658.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026 : 13,836.08 = 5,549.64 : x
  2. Step 2: Convert to fraction form
    10,026/13,836.08 = 5,549.64/x
  3. Step 3: Cross multiply
    10,026x = 13,836.08 × 5,549.64
  4. Step 4: Simplify right side
    10,026x = 76,785,263.01
  5. Step 5: Solve for x
    x = 76,785,263.01/10,026
  6. Step 6: Final answer
    x = 7,658.61

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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.