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Finding the Fourth Proportional to 9,471.36, 13,068.48 and 6,824.64

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Solution

The fourth proportional to 9,471.36, 13,068.48 and 6,824.64 is: 9,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.36 : 13,068.48 = 6,824.64 : x
  2. Step 2: Convert to fraction form
    9,471.36/13,068.48 = 6,824.64/x
  3. Step 3: Cross multiply
    9,471.36x = 13,068.48 × 6,824.64
  4. Step 4: Simplify right side
    9,471.36x = 89,187,671.35
  5. Step 5: Solve for x
    x = 89,187,671.35/9,471.36
  6. Step 6: Final answer
    x = 9,416.56

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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.