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Finding the Fourth Proportional to 7,290.64, 10,913.64 and 6,743.80

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Solution

The fourth proportional to 7,290.64, 10,913.64 and 6,743.80 is: 10,095.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.64 : 10,913.64 = 6,743.80 : x
  2. Step 2: Convert to fraction form
    7,290.64/10,913.64 = 6,743.80/x
  3. Step 3: Cross multiply
    7,290.64x = 10,913.64 × 6,743.80
  4. Step 4: Simplify right side
    7,290.64x = 73,599,405.43
  5. Step 5: Solve for x
    x = 73,599,405.43/7,290.64
  6. Step 6: Final answer
    x = 10,095.05

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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.