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Finding the Fourth Proportional to 7,798.81, 11,698.23 and 1,955.43

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Solution

The fourth proportional to 7,798.81, 11,698.23 and 1,955.43 is: 2,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.81 : 11,698.23 = 1,955.43 : x
  2. Step 2: Convert to fraction form
    7,798.81/11,698.23 = 1,955.43/x
  3. Step 3: Cross multiply
    7,798.81x = 11,698.23 × 1,955.43
  4. Step 4: Simplify right side
    7,798.81x = 22,875,069.89
  5. Step 5: Solve for x
    x = 22,875,069.89/7,798.81
  6. Step 6: Final answer
    x = 2,933.15

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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.