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Finding the Fourth Proportional to 6,599.40, 9,893.62 and 3,477.66

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Solution

The fourth proportional to 6,599.40, 9,893.62 and 3,477.66 is: 5,213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.40 : 9,893.62 = 3,477.66 : x
  2. Step 2: Convert to fraction form
    6,599.40/9,893.62 = 3,477.66/x
  3. Step 3: Cross multiply
    6,599.40x = 9,893.62 × 3,477.66
  4. Step 4: Simplify right side
    6,599.40x = 34,406,646.53
  5. Step 5: Solve for x
    x = 34,406,646.53/6,599.40
  6. Step 6: Final answer
    x = 5,213.60

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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.