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Finding the Fourth Proportional to 6,637.12, 9,946.56 and 6,384.64

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Solution

The fourth proportional to 6,637.12, 9,946.56 and 6,384.64 is: 9,568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,637.12 : 9,946.56 = 6,384.64 : x
  2. Step 2: Convert to fraction form
    6,637.12/9,946.56 = 6,384.64/x
  3. Step 3: Cross multiply
    6,637.12x = 9,946.56 × 6,384.64
  4. Step 4: Simplify right side
    6,637.12x = 63,505,204.84
  5. Step 5: Solve for x
    x = 63,505,204.84/6,637.12
  6. Step 6: Final answer
    x = 9,568.19

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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.