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Finding the Fourth Proportional to 5,655.74, 7,807.47 and 4,896.50

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Solution

The fourth proportional to 5,655.74, 7,807.47 and 4,896.50 is: 6,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.74 : 7,807.47 = 4,896.50 : x
  2. Step 2: Convert to fraction form
    5,655.74/7,807.47 = 4,896.50/x
  3. Step 3: Cross multiply
    5,655.74x = 7,807.47 × 4,896.50
  4. Step 4: Simplify right side
    5,655.74x = 38,229,276.86
  5. Step 5: Solve for x
    x = 38,229,276.86/5,655.74
  6. Step 6: Final answer
    x = 6,759.38

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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.