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Finding the Fourth Proportional to 10,533, 14,536.82 and 6,117

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Solution

The fourth proportional to 10,533, 14,536.82 and 6,117 is: 8,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533 : 14,536.82 = 6,117 : x
  2. Step 2: Convert to fraction form
    10,533/14,536.82 = 6,117/x
  3. Step 3: Cross multiply
    10,533x = 14,536.82 × 6,117
  4. Step 4: Simplify right side
    10,533x = 88,921,727.94
  5. Step 5: Solve for x
    x = 88,921,727.94/10,533
  6. Step 6: Final answer
    x = 8,442.20

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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.