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Finding the Fourth Proportional to 6,544.85, 9,743.25 and 6,505.93

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Solution

The fourth proportional to 6,544.85, 9,743.25 and 6,505.93 is: 9,685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.85 : 9,743.25 = 6,505.93 : x
  2. Step 2: Convert to fraction form
    6,544.85/9,743.25 = 6,505.93/x
  3. Step 3: Cross multiply
    6,544.85x = 9,743.25 × 6,505.93
  4. Step 4: Simplify right side
    6,544.85x = 63,388,877.35
  5. Step 5: Solve for x
    x = 63,388,877.35/6,544.85
  6. Step 6: Final answer
    x = 9,685.30

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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.