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Finding the Fourth Proportional to 10,464, 15,703.20 and 4,308

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Solution

The fourth proportional to 10,464, 15,703.20 and 4,308 is: 6,464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464 : 15,703.20 = 4,308 : x
  2. Step 2: Convert to fraction form
    10,464/15,703.20 = 4,308/x
  3. Step 3: Cross multiply
    10,464x = 15,703.20 × 4,308
  4. Step 4: Simplify right side
    10,464x = 67,649,385.60
  5. Step 5: Solve for x
    x = 67,649,385.60/10,464
  6. Step 6: Final answer
    x = 6,464.96

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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.