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Finding the Fourth Proportional to 9,775.61, 13,496.81 and 6,056.09

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Solution

The fourth proportional to 9,775.61, 13,496.81 and 6,056.09 is: 8,361.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.61 : 13,496.81 = 6,056.09 : x
  2. Step 2: Convert to fraction form
    9,775.61/13,496.81 = 6,056.09/x
  3. Step 3: Cross multiply
    9,775.61x = 13,496.81 × 6,056.09
  4. Step 4: Simplify right side
    9,775.61x = 81,737,798.31
  5. Step 5: Solve for x
    x = 81,737,798.31/9,775.61
  6. Step 6: Final answer
    x = 8,361.41

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.