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Finding the Fourth Proportional to 4,927.56, 7,394.78 and 4,456.99

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Solution

The fourth proportional to 4,927.56, 7,394.78 and 4,456.99 is: 6,688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.56 : 7,394.78 = 4,456.99 : x
  2. Step 2: Convert to fraction form
    4,927.56/7,394.78 = 4,456.99/x
  3. Step 3: Cross multiply
    4,927.56x = 7,394.78 × 4,456.99
  4. Step 4: Simplify right side
    4,927.56x = 32,958,460.51
  5. Step 5: Solve for x
    x = 32,958,460.51/4,927.56
  6. Step 6: Final answer
    x = 6,688.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.