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Finding the Fourth Proportional to 4,946.04, 7,404.48 and 4,732.20

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Solution

The fourth proportional to 4,946.04, 7,404.48 and 4,732.20 is: 7,084.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.04 : 7,404.48 = 4,732.20 : x
  2. Step 2: Convert to fraction form
    4,946.04/7,404.48 = 4,732.20/x
  3. Step 3: Cross multiply
    4,946.04x = 7,404.48 × 4,732.20
  4. Step 4: Simplify right side
    4,946.04x = 35,039,480.26
  5. Step 5: Solve for x
    x = 35,039,480.26/4,946.04
  6. Step 6: Final answer
    x = 7,084.35

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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.