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Finding the Fourth Proportional to 6,307.68, 8,703.06 and 4,154

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Solution

The fourth proportional to 6,307.68, 8,703.06 and 4,154 is: 5,731.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.68 : 8,703.06 = 4,154 : x
  2. Step 2: Convert to fraction form
    6,307.68/8,703.06 = 4,154/x
  3. Step 3: Cross multiply
    6,307.68x = 8,703.06 × 4,154
  4. Step 4: Simplify right side
    6,307.68x = 36,152,511.24
  5. Step 5: Solve for x
    x = 36,152,511.24/6,307.68
  6. Step 6: Final answer
    x = 5,731.51

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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.