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Finding the Fourth Proportional to 7,297.70, 10,946.55 and 4,964.90

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Solution

The fourth proportional to 7,297.70, 10,946.55 and 4,964.90 is: 7,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.70 : 10,946.55 = 4,964.90 : x
  2. Step 2: Convert to fraction form
    7,297.70/10,946.55 = 4,964.90/x
  3. Step 3: Cross multiply
    7,297.70x = 10,946.55 × 4,964.90
  4. Step 4: Simplify right side
    7,297.70x = 54,348,526.10
  5. Step 5: Solve for x
    x = 54,348,526.10/7,297.70
  6. Step 6: Final answer
    x = 7,447.35

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Similar ratio
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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.