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Finding the Fourth Proportional to 10,409.52, 14,368.14 and 5,935.71

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Solution

The fourth proportional to 10,409.52, 14,368.14 and 5,935.71 is: 8,192.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.52 : 14,368.14 = 5,935.71 : x
  2. Step 2: Convert to fraction form
    10,409.52/14,368.14 = 5,935.71/x
  3. Step 3: Cross multiply
    10,409.52x = 14,368.14 × 5,935.71
  4. Step 4: Simplify right side
    10,409.52x = 85,285,112.28
  5. Step 5: Solve for x
    x = 85,285,112.28/10,409.52
  6. Step 6: Final answer
    x = 8,192.99

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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.