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Finding the Fourth Proportional to 7,224.84, 9,964.04 and 4,706

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Solution

The fourth proportional to 7,224.84, 9,964.04 and 4,706 is: 6,490.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.84 : 9,964.04 = 4,706 : x
  2. Step 2: Convert to fraction form
    7,224.84/9,964.04 = 4,706/x
  3. Step 3: Cross multiply
    7,224.84x = 9,964.04 × 4,706
  4. Step 4: Simplify right side
    7,224.84x = 46,890,772.24
  5. Step 5: Solve for x
    x = 46,890,772.24/7,224.84
  6. Step 6: Final answer
    x = 6,490.22

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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.