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Finding the Fourth Proportional to 11,790.76, 17,708.70 and 7,417

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Solution

The fourth proportional to 11,790.76, 17,708.70 and 7,417 is: 11,139.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,790.76 : 17,708.70 = 7,417 : x
  2. Step 2: Convert to fraction form
    11,790.76/17,708.70 = 7,417/x
  3. Step 3: Cross multiply
    11,790.76x = 17,708.70 × 7,417
  4. Step 4: Simplify right side
    11,790.76x = 131,345,427.90
  5. Step 5: Solve for x
    x = 131,345,427.90/11,790.76
  6. Step 6: Final answer
    x = 11,139.69

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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.