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Finding the Fourth Proportional to 3,509.84, 5,264.78 and 912.78

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Solution

The fourth proportional to 3,509.84, 5,264.78 and 912.78 is: 1,369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.84 : 5,264.78 = 912.78 : x
  2. Step 2: Convert to fraction form
    3,509.84/5,264.78 = 912.78/x
  3. Step 3: Cross multiply
    3,509.84x = 5,264.78 × 912.78
  4. Step 4: Simplify right side
    3,509.84x = 4,805,581.32
  5. Step 5: Solve for x
    x = 4,805,581.32/3,509.84
  6. Step 6: Final answer
    x = 1,369.17

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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.