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Finding the Fourth Proportional to 7,798.14, 10,768.14 and 7,233.30

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Solution

The fourth proportional to 7,798.14, 10,768.14 and 7,233.30 is: 9,988.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.14 : 10,768.14 = 7,233.30 : x
  2. Step 2: Convert to fraction form
    7,798.14/10,768.14 = 7,233.30/x
  3. Step 3: Cross multiply
    7,798.14x = 10,768.14 × 7,233.30
  4. Step 4: Simplify right side
    7,798.14x = 77,889,187.06
  5. Step 5: Solve for x
    x = 77,889,187.06/7,798.14
  6. Step 6: Final answer
    x = 9,988.18

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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.