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Finding the Fourth Proportional to 7,088.93, 9,770.36 and 5,196.49

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Solution

The fourth proportional to 7,088.93, 9,770.36 and 5,196.49 is: 7,162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.93 : 9,770.36 = 5,196.49 : x
  2. Step 2: Convert to fraction form
    7,088.93/9,770.36 = 5,196.49/x
  3. Step 3: Cross multiply
    7,088.93x = 9,770.36 × 5,196.49
  4. Step 4: Simplify right side
    7,088.93x = 50,771,527.63
  5. Step 5: Solve for x
    x = 50,771,527.63/7,088.93
  6. Step 6: Final answer
    x = 7,162.09

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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.