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Finding the Fourth Proportional to 7,684, 10,604.16 and 4,542.88

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Solution

The fourth proportional to 7,684, 10,604.16 and 4,542.88 is: 6,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684 : 10,604.16 = 4,542.88 : x
  2. Step 2: Convert to fraction form
    7,684/10,604.16 = 4,542.88/x
  3. Step 3: Cross multiply
    7,684x = 10,604.16 × 4,542.88
  4. Step 4: Simplify right side
    7,684x = 48,173,426.38
  5. Step 5: Solve for x
    x = 48,173,426.38/7,684
  6. Step 6: Final answer
    x = 6,269.32

Related Problems

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Double scale
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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.