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Finding the Fourth Proportional to 6,407.74, 8,836.50 and 5,697.46

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Solution

The fourth proportional to 6,407.74, 8,836.50 and 5,697.46 is: 7,857.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.74 : 8,836.50 = 5,697.46 : x
  2. Step 2: Convert to fraction form
    6,407.74/8,836.50 = 5,697.46/x
  3. Step 3: Cross multiply
    6,407.74x = 8,836.50 × 5,697.46
  4. Step 4: Simplify right side
    6,407.74x = 50,345,605.29
  5. Step 5: Solve for x
    x = 50,345,605.29/6,407.74
  6. Step 6: Final answer
    x = 7,857.00

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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.