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Finding the Fourth Proportional to 4,946.32, 7,411.24 and 3,482.92

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Solution

The fourth proportional to 4,946.32, 7,411.24 and 3,482.92 is: 5,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.32 : 7,411.24 = 3,482.92 : x
  2. Step 2: Convert to fraction form
    4,946.32/7,411.24 = 3,482.92/x
  3. Step 3: Cross multiply
    4,946.32x = 7,411.24 × 3,482.92
  4. Step 4: Simplify right side
    4,946.32x = 25,812,756.02
  5. Step 5: Solve for x
    x = 25,812,756.02/4,946.32
  6. Step 6: Final answer
    x = 5,218.58

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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.