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Finding the Fourth Proportional to 6,810.54, 9,407.79 and 5,337.06

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Solution

The fourth proportional to 6,810.54, 9,407.79 and 5,337.06 is: 7,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.54 : 9,407.79 = 5,337.06 : x
  2. Step 2: Convert to fraction form
    6,810.54/9,407.79 = 5,337.06/x
  3. Step 3: Cross multiply
    6,810.54x = 9,407.79 × 5,337.06
  4. Step 4: Simplify right side
    6,810.54x = 50,209,939.70
  5. Step 5: Solve for x
    x = 50,209,939.70/6,810.54
  6. Step 6: Final answer
    x = 7,372.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.