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Finding the Fourth Proportional to 4,904.73, 7,357.05 and 1,206.99

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Solution

The fourth proportional to 4,904.73, 7,357.05 and 1,206.99 is: 1,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.73 : 7,357.05 = 1,206.99 : x
  2. Step 2: Convert to fraction form
    4,904.73/7,357.05 = 1,206.99/x
  3. Step 3: Cross multiply
    4,904.73x = 7,357.05 × 1,206.99
  4. Step 4: Simplify right side
    4,904.73x = 8,879,885.78
  5. Step 5: Solve for x
    x = 8,879,885.78/4,904.73
  6. Step 6: Final answer
    x = 1,810.47

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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.