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Finding the Fourth Proportional to 7,678.98, 10,598.58 and 4,993.56

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Solution

The fourth proportional to 7,678.98, 10,598.58 and 4,993.56 is: 6,892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.98 : 10,598.58 = 4,993.56 : x
  2. Step 2: Convert to fraction form
    7,678.98/10,598.58 = 4,993.56/x
  3. Step 3: Cross multiply
    7,678.98x = 10,598.58 × 4,993.56
  4. Step 4: Simplify right side
    7,678.98x = 52,924,645.14
  5. Step 5: Solve for x
    x = 52,924,645.14/7,678.98
  6. Step 6: Final answer
    x = 6,892.15

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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.