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Finding the Fourth Proportional to 7,837.56, 10,816.02 and 4,300.74

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Solution

The fourth proportional to 7,837.56, 10,816.02 and 4,300.74 is: 5,935.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.56 : 10,816.02 = 4,300.74 : x
  2. Step 2: Convert to fraction form
    7,837.56/10,816.02 = 4,300.74/x
  3. Step 3: Cross multiply
    7,837.56x = 10,816.02 × 4,300.74
  4. Step 4: Simplify right side
    7,837.56x = 46,516,889.85
  5. Step 5: Solve for x
    x = 46,516,889.85/7,837.56
  6. Step 6: Final answer
    x = 5,935.12

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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.