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Finding the Fourth Proportional to 4,737.33, 6,533.64 and 4,206.60

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Solution

The fourth proportional to 4,737.33, 6,533.64 and 4,206.60 is: 5,801.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.33 : 6,533.64 = 4,206.60 : x
  2. Step 2: Convert to fraction form
    4,737.33/6,533.64 = 4,206.60/x
  3. Step 3: Cross multiply
    4,737.33x = 6,533.64 × 4,206.60
  4. Step 4: Simplify right side
    4,737.33x = 27,484,410.02
  5. Step 5: Solve for x
    x = 27,484,410.02/4,737.33
  6. Step 6: Final answer
    x = 5,801.67

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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.