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Finding the Fourth Proportional to 7,194.84, 9,864.12 and 7,063.64

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Solution

The fourth proportional to 7,194.84, 9,864.12 and 7,063.64 is: 9,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.84 : 9,864.12 = 7,063.64 : x
  2. Step 2: Convert to fraction form
    7,194.84/9,864.12 = 7,063.64/x
  3. Step 3: Cross multiply
    7,194.84x = 9,864.12 × 7,063.64
  4. Step 4: Simplify right side
    7,194.84x = 69,676,592.60
  5. Step 5: Solve for x
    x = 69,676,592.60/7,194.84
  6. Step 6: Final answer
    x = 9,684.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.