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Finding the Fourth Proportional to 7,873.68, 10,866.14 and 4,516.47

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Solution

The fourth proportional to 7,873.68, 10,866.14 and 4,516.47 is: 6,232.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.68 : 10,866.14 = 4,516.47 : x
  2. Step 2: Convert to fraction form
    7,873.68/10,866.14 = 4,516.47/x
  3. Step 3: Cross multiply
    7,873.68x = 10,866.14 × 4,516.47
  4. Step 4: Simplify right side
    7,873.68x = 49,076,572.74
  5. Step 5: Solve for x
    x = 49,076,572.74/7,873.68
  6. Step 6: Final answer
    x = 6,232.99

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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.