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Finding the Fourth Proportional to 6,341.65, 8,747.96 and 3,688.76

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Solution

The fourth proportional to 6,341.65, 8,747.96 and 3,688.76 is: 5,088.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.65 : 8,747.96 = 3,688.76 : x
  2. Step 2: Convert to fraction form
    6,341.65/8,747.96 = 3,688.76/x
  3. Step 3: Cross multiply
    6,341.65x = 8,747.96 × 3,688.76
  4. Step 4: Simplify right side
    6,341.65x = 32,269,128.36
  5. Step 5: Solve for x
    x = 32,269,128.36/6,341.65
  6. Step 6: Final answer
    x = 5,088.45

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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.