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Finding the Fourth Proportional to 9,650.70, 14,478.16 and 4,108.78

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Solution

The fourth proportional to 9,650.70, 14,478.16 and 4,108.78 is: 6,164.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.70 : 14,478.16 = 4,108.78 : x
  2. Step 2: Convert to fraction form
    9,650.70/14,478.16 = 4,108.78/x
  3. Step 3: Cross multiply
    9,650.70x = 14,478.16 × 4,108.78
  4. Step 4: Simplify right side
    9,650.70x = 59,487,574.24
  5. Step 5: Solve for x
    x = 59,487,574.24/9,650.70
  6. Step 6: Final answer
    x = 6,164.07

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1.5x scale

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.