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Finding the Fourth Proportional to 9,649.16, 14,473.78 and 3,405.78

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Solution

The fourth proportional to 9,649.16, 14,473.78 and 3,405.78 is: 5,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.16 : 14,473.78 = 3,405.78 : x
  2. Step 2: Convert to fraction form
    9,649.16/14,473.78 = 3,405.78/x
  3. Step 3: Cross multiply
    9,649.16x = 14,473.78 × 3,405.78
  4. Step 4: Simplify right side
    9,649.16x = 49,294,510.45
  5. Step 5: Solve for x
    x = 49,294,510.45/9,649.16
  6. Step 6: Final answer
    x = 5,108.68

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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.