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Finding the Fourth Proportional to 7,689.27, 10,609.00 and 4,330.91

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Solution

The fourth proportional to 7,689.27, 10,609.00 and 4,330.91 is: 5,975.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.27 : 10,609.00 = 4,330.91 : x
  2. Step 2: Convert to fraction form
    7,689.27/10,609.00 = 4,330.91/x
  3. Step 3: Cross multiply
    7,689.27x = 10,609.00 × 4,330.91
  4. Step 4: Simplify right side
    7,689.27x = 45,946,639.89
  5. Step 5: Solve for x
    x = 45,946,639.89/7,689.27
  6. Step 6: Final answer
    x = 5,975.42

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Half scale
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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.