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Finding the Fourth Proportional to 9,476.64, 14,206.32 and 6,884.64

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Solution

The fourth proportional to 9,476.64, 14,206.32 and 6,884.64 is: 10,320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.64 : 14,206.32 = 6,884.64 : x
  2. Step 2: Convert to fraction form
    9,476.64/14,206.32 = 6,884.64/x
  3. Step 3: Cross multiply
    9,476.64x = 14,206.32 × 6,884.64
  4. Step 4: Simplify right side
    9,476.64x = 97,805,398.92
  5. Step 5: Solve for x
    x = 97,805,398.92/9,476.64
  6. Step 6: Final answer
    x = 10,320.68

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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.