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Finding the Fourth Proportional to 8,466.76, 11,706.44 and 7,415.80

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Solution

The fourth proportional to 8,466.76, 11,706.44 and 7,415.80 is: 10,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.76 : 11,706.44 = 7,415.80 : x
  2. Step 2: Convert to fraction form
    8,466.76/11,706.44 = 7,415.80/x
  3. Step 3: Cross multiply
    8,466.76x = 11,706.44 × 7,415.80
  4. Step 4: Simplify right side
    8,466.76x = 86,812,617.75
  5. Step 5: Solve for x
    x = 86,812,617.75/8,466.76
  6. Step 6: Final answer
    x = 10,253.35

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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.