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Finding the Fourth Proportional to 5,564.77, 8,347.15 and 4,737.76

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Solution

The fourth proportional to 5,564.77, 8,347.15 and 4,737.76 is: 7,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.77 : 8,347.15 = 4,737.76 : x
  2. Step 2: Convert to fraction form
    5,564.77/8,347.15 = 4,737.76/x
  3. Step 3: Cross multiply
    5,564.77x = 8,347.15 × 4,737.76
  4. Step 4: Simplify right side
    5,564.77x = 39,546,778.44
  5. Step 5: Solve for x
    x = 39,546,778.44/5,564.77
  6. Step 6: Final answer
    x = 7,106.64

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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.