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Finding the Fourth Proportional to 10,368, 14,307.84 and 6,642

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Solution

The fourth proportional to 10,368, 14,307.84 and 6,642 is: 9,165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368 : 14,307.84 = 6,642 : x
  2. Step 2: Convert to fraction form
    10,368/14,307.84 = 6,642/x
  3. Step 3: Cross multiply
    10,368x = 14,307.84 × 6,642
  4. Step 4: Simplify right side
    10,368x = 95,032,673.28
  5. Step 5: Solve for x
    x = 95,032,673.28/10,368
  6. Step 6: Final answer
    x = 9,165.96

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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.