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Finding the Fourth Proportional to 6,598.65, 9,106.12 and 3,614.48

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Solution

The fourth proportional to 6,598.65, 9,106.12 and 3,614.48 is: 4,987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.65 : 9,106.12 = 3,614.48 : x
  2. Step 2: Convert to fraction form
    6,598.65/9,106.12 = 3,614.48/x
  3. Step 3: Cross multiply
    6,598.65x = 9,106.12 × 3,614.48
  4. Step 4: Simplify right side
    6,598.65x = 32,913,888.62
  5. Step 5: Solve for x
    x = 32,913,888.62/6,598.65
  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.