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Finding the Fourth Proportional to 7,094.76, 10,640.72 and 6,743.48

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Solution

The fourth proportional to 7,094.76, 10,640.72 and 6,743.48 is: 10,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.76 : 10,640.72 = 6,743.48 : x
  2. Step 2: Convert to fraction form
    7,094.76/10,640.72 = 6,743.48/x
  3. Step 3: Cross multiply
    7,094.76x = 10,640.72 × 6,743.48
  4. Step 4: Simplify right side
    7,094.76x = 71,755,482.51
  5. Step 5: Solve for x
    x = 71,755,482.51/7,094.76
  6. Step 6: Final answer
    x = 10,113.87

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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.