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Finding the Fourth Proportional to 8,533.62, 11,774.57 and 6,411.42

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Solution

The fourth proportional to 8,533.62, 11,774.57 and 6,411.42 is: 8,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.62 : 11,774.57 = 6,411.42 : x
  2. Step 2: Convert to fraction form
    8,533.62/11,774.57 = 6,411.42/x
  3. Step 3: Cross multiply
    8,533.62x = 11,774.57 × 6,411.42
  4. Step 4: Simplify right side
    8,533.62x = 75,491,681.53
  5. Step 5: Solve for x
    x = 75,491,681.53/8,533.62
  6. Step 6: Final answer
    x = 8,846.38

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Half scale
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Double scale
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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.