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Finding the Fourth Proportional to 6,598.69, 9,106.08 and 3,614.51

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Solution

The fourth proportional to 6,598.69, 9,106.08 and 3,614.51 is: 4,987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.69 : 9,106.08 = 3,614.51 : x
  2. Step 2: Convert to fraction form
    6,598.69/9,106.08 = 3,614.51/x
  3. Step 3: Cross multiply
    6,598.69x = 9,106.08 × 3,614.51
  4. Step 4: Simplify right side
    6,598.69x = 32,914,026.43
  5. Step 5: Solve for x
    x = 32,914,026.43/6,598.69
  6. Step 6: Final answer
    x = 4,987.97

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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.