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Finding the Fourth Proportional to 6,506.80, 9,704.54 and 5,526.01

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Solution

The fourth proportional to 6,506.80, 9,704.54 and 5,526.01 is: 8,241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.80 : 9,704.54 = 5,526.01 : x
  2. Step 2: Convert to fraction form
    6,506.80/9,704.54 = 5,526.01/x
  3. Step 3: Cross multiply
    6,506.80x = 9,704.54 × 5,526.01
  4. Step 4: Simplify right side
    6,506.80x = 53,627,385.09
  5. Step 5: Solve for x
    x = 53,627,385.09/6,506.80
  6. Step 6: Final answer
    x = 8,241.74

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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.