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Finding the Fourth Proportional to 6,544.50, 9,775.02 and 5,669.70

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Solution

The fourth proportional to 6,544.50, 9,775.02 and 5,669.70 is: 8,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.50 : 9,775.02 = 5,669.70 : x
  2. Step 2: Convert to fraction form
    6,544.50/9,775.02 = 5,669.70/x
  3. Step 3: Cross multiply
    6,544.50x = 9,775.02 × 5,669.70
  4. Step 4: Simplify right side
    6,544.50x = 55,421,430.89
  5. Step 5: Solve for x
    x = 55,421,430.89/6,544.50
  6. Step 6: Final answer
    x = 8,468.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.