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Finding the Fourth Proportional to 6,544.64, 9,816.90 and 1,614.32

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Solution

The fourth proportional to 6,544.64, 9,816.90 and 1,614.32 is: 2,421.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.64 : 9,816.90 = 1,614.32 : x
  2. Step 2: Convert to fraction form
    6,544.64/9,816.90 = 1,614.32/x
  3. Step 3: Cross multiply
    6,544.64x = 9,816.90 × 1,614.32
  4. Step 4: Simplify right side
    6,544.64x = 15,847,618.01
  5. Step 5: Solve for x
    x = 15,847,618.01/6,544.64
  6. Step 6: Final answer
    x = 2,421.47

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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.