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Finding the Fourth Proportional to 7,610.72, 11,416.08 and 2,417

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Solution

The fourth proportional to 7,610.72, 11,416.08 and 2,417 is: 3,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.72 : 11,416.08 = 2,417 : x
  2. Step 2: Convert to fraction form
    7,610.72/11,416.08 = 2,417/x
  3. Step 3: Cross multiply
    7,610.72x = 11,416.08 × 2,417
  4. Step 4: Simplify right side
    7,610.72x = 27,592,665.36
  5. Step 5: Solve for x
    x = 27,592,665.36/7,610.72
  6. Step 6: Final answer
    x = 3,625.50

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Half scale
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Double scale
Find fourth proportional to 7,611.72, 11,417.58 and 2,418
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.