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Finding the Fourth Proportional to 7,154.94, 9,866.34 and 5,660.46

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Solution

The fourth proportional to 7,154.94, 9,866.34 and 5,660.46 is: 7,805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.94 : 9,866.34 = 5,660.46 : x
  2. Step 2: Convert to fraction form
    7,154.94/9,866.34 = 5,660.46/x
  3. Step 3: Cross multiply
    7,154.94x = 9,866.34 × 5,660.46
  4. Step 4: Simplify right side
    7,154.94x = 55,848,022.92
  5. Step 5: Solve for x
    x = 55,848,022.92/7,154.94
  6. Step 6: Final answer
    x = 7,805.52

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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.