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Finding the Fourth Proportional to 6,927.68, 10,376.76 and 6,448.16

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Solution

The fourth proportional to 6,927.68, 10,376.76 and 6,448.16 is: 9,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927.68 : 10,376.76 = 6,448.16 : x
  2. Step 2: Convert to fraction form
    6,927.68/10,376.76 = 6,448.16/x
  3. Step 3: Cross multiply
    6,927.68x = 10,376.76 × 6,448.16
  4. Step 4: Simplify right side
    6,927.68x = 66,911,008.76
  5. Step 5: Solve for x
    x = 66,911,008.76/6,927.68
  6. Step 6: Final answer
    x = 9,658.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.