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Finding the Fourth Proportional to 6,460.91, 8,916.05 and 3,666.41

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Solution

The fourth proportional to 6,460.91, 8,916.05 and 3,666.41 is: 5,059.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.91 : 8,916.05 = 3,666.41 : x
  2. Step 2: Convert to fraction form
    6,460.91/8,916.05 = 3,666.41/x
  3. Step 3: Cross multiply
    6,460.91x = 8,916.05 × 3,666.41
  4. Step 4: Simplify right side
    6,460.91x = 32,689,831.97
  5. Step 5: Solve for x
    x = 32,689,831.97/6,460.91
  6. Step 6: Final answer
    x = 5,059.64

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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.