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Finding the Fourth Proportional to 6,651.84, 9,977.76 and 3,730.20

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Solution

The fourth proportional to 6,651.84, 9,977.76 and 3,730.20 is: 5,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.84 : 9,977.76 = 3,730.20 : x
  2. Step 2: Convert to fraction form
    6,651.84/9,977.76 = 3,730.20/x
  3. Step 3: Cross multiply
    6,651.84x = 9,977.76 × 3,730.20
  4. Step 4: Simplify right side
    6,651.84x = 37,219,040.35
  5. Step 5: Solve for x
    x = 37,219,040.35/6,651.84
  6. Step 6: Final answer
    x = 5,595.30

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Half scale
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Double scale
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Similar ratio
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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.