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Finding the Fourth Proportional to 7,684.84, 10,606.08 and 4,328.30

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Solution

The fourth proportional to 7,684.84, 10,606.08 and 4,328.30 is: 5,973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.84 : 10,606.08 = 4,328.30 : x
  2. Step 2: Convert to fraction form
    7,684.84/10,606.08 = 4,328.30/x
  3. Step 3: Cross multiply
    7,684.84x = 10,606.08 × 4,328.30
  4. Step 4: Simplify right side
    7,684.84x = 45,906,296.06
  5. Step 5: Solve for x
    x = 45,906,296.06/7,684.84
  6. Step 6: Final answer
    x = 5,973.62

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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.