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Finding the Fourth Proportional to 6,315.48, 9,477.86 and 5,097.48

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Solution

The fourth proportional to 6,315.48, 9,477.86 and 5,097.48 is: 7,649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.48 : 9,477.86 = 5,097.48 : x
  2. Step 2: Convert to fraction form
    6,315.48/9,477.86 = 5,097.48/x
  3. Step 3: Cross multiply
    6,315.48x = 9,477.86 × 5,097.48
  4. Step 4: Simplify right side
    6,315.48x = 48,313,201.79
  5. Step 5: Solve for x
    x = 48,313,201.79/6,315.48
  6. Step 6: Final answer
    x = 7,649.97

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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.