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Finding the Fourth Proportional to 7,184.97, 9,913.12 and 4,533.23

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Solution

The fourth proportional to 7,184.97, 9,913.12 and 4,533.23 is: 6,254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.97 : 9,913.12 = 4,533.23 : x
  2. Step 2: Convert to fraction form
    7,184.97/9,913.12 = 4,533.23/x
  3. Step 3: Cross multiply
    7,184.97x = 9,913.12 × 4,533.23
  4. Step 4: Simplify right side
    7,184.97x = 44,938,466.43
  5. Step 5: Solve for x
    x = 44,938,466.43/7,184.97
  6. Step 6: Final answer
    x = 6,254.51

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Similar ratio
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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.