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Finding the Fourth Proportional to 7,184.30, 9,914.00 and 4,946.13

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Solution

The fourth proportional to 7,184.30, 9,914.00 and 4,946.13 is: 6,825.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.30 : 9,914.00 = 4,946.13 : x
  2. Step 2: Convert to fraction form
    7,184.30/9,914.00 = 4,946.13/x
  3. Step 3: Cross multiply
    7,184.30x = 9,914.00 × 4,946.13
  4. Step 4: Simplify right side
    7,184.30x = 49,035,908.09
  5. Step 5: Solve for x
    x = 49,035,908.09/7,184.30
  6. Step 6: Final answer
    x = 6,825.43

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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.