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Finding the Fourth Proportional to 10,509.84, 15,767.84 and 3,114.48

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Solution

The fourth proportional to 10,509.84, 15,767.84 and 3,114.48 is: 4,672.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.84 : 15,767.84 = 3,114.48 : x
  2. Step 2: Convert to fraction form
    10,509.84/15,767.84 = 3,114.48/x
  3. Step 3: Cross multiply
    10,509.84x = 15,767.84 × 3,114.48
  4. Step 4: Simplify right side
    10,509.84x = 49,108,622.32
  5. Step 5: Solve for x
    x = 49,108,622.32/10,509.84
  6. Step 6: Final answer
    x = 4,672.63

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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.