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Finding the Fourth Proportional to 3,047.64, 4,571.47 and 856.38

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Solution

The fourth proportional to 3,047.64, 4,571.47 and 856.38 is: 1,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.64 : 4,571.47 = 856.38 : x
  2. Step 2: Convert to fraction form
    3,047.64/4,571.47 = 856.38/x
  3. Step 3: Cross multiply
    3,047.64x = 4,571.47 × 856.38
  4. Step 4: Simplify right side
    3,047.64x = 3,914,933.69
  5. Step 5: Solve for x
    x = 3,914,933.69/3,047.64
  6. Step 6: Final answer
    x = 1,284.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.