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Finding the Fourth Proportional to 6,510.48, 9,775.48 and 5,635.68

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Solution

The fourth proportional to 6,510.48, 9,775.48 and 5,635.68 is: 8,461.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.48 : 9,775.48 = 5,635.68 : x
  2. Step 2: Convert to fraction form
    6,510.48/9,775.48 = 5,635.68/x
  3. Step 3: Cross multiply
    6,510.48x = 9,775.48 × 5,635.68
  4. Step 4: Simplify right side
    6,510.48x = 55,091,477.13
  5. Step 5: Solve for x
    x = 55,091,477.13/6,510.48
  6. Step 6: Final answer
    x = 8,461.97

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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.