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Finding the Fourth Proportional to 6,598.56, 9,106.12 and 3,614.68

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Solution

The fourth proportional to 6,598.56, 9,106.12 and 3,614.68 is: 4,988.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.56 : 9,106.12 = 3,614.68 : x
  2. Step 2: Convert to fraction form
    6,598.56/9,106.12 = 3,614.68/x
  3. Step 3: Cross multiply
    6,598.56x = 9,106.12 × 3,614.68
  4. Step 4: Simplify right side
    6,598.56x = 32,915,709.84
  5. Step 5: Solve for x
    x = 32,915,709.84/6,598.56
  6. Step 6: Final answer
    x = 4,988.32

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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.