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Finding the Fourth Proportional to 7,298.65, 10,946.98 and 2,853.22

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Solution

The fourth proportional to 7,298.65, 10,946.98 and 2,853.22 is: 4,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.65 : 10,946.98 = 2,853.22 : x
  2. Step 2: Convert to fraction form
    7,298.65/10,946.98 = 2,853.22/x
  3. Step 3: Cross multiply
    7,298.65x = 10,946.98 × 2,853.22
  4. Step 4: Simplify right side
    7,298.65x = 31,234,142.28
  5. Step 5: Solve for x
    x = 31,234,142.28/7,298.65
  6. Step 6: Final answer
    x = 4,279.44

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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.