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Finding the Fourth Proportional to 6,670.93, 9,205.89 and 3,646.10

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Solution

The fourth proportional to 6,670.93, 9,205.89 and 3,646.10 is: 5,031.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.93 : 9,205.89 = 3,646.10 : x
  2. Step 2: Convert to fraction form
    6,670.93/9,205.89 = 3,646.10/x
  3. Step 3: Cross multiply
    6,670.93x = 9,205.89 × 3,646.10
  4. Step 4: Simplify right side
    6,670.93x = 33,565,595.53
  5. Step 5: Solve for x
    x = 33,565,595.53/6,670.93
  6. Step 6: Final answer
    x = 5,031.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.