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Finding the Fourth Proportional to 7,367.84, 11,054.80 and 2,984.18

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Solution

The fourth proportional to 7,367.84, 11,054.80 and 2,984.18 is: 4,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,367.84 : 11,054.80 = 2,984.18 : x
  2. Step 2: Convert to fraction form
    7,367.84/11,054.80 = 2,984.18/x
  3. Step 3: Cross multiply
    7,367.84x = 11,054.80 × 2,984.18
  4. Step 4: Simplify right side
    7,367.84x = 32,989,513.06
  5. Step 5: Solve for x
    x = 32,989,513.06/7,367.84
  6. Step 6: Final answer
    x = 4,477.50

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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.