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Finding the Fourth Proportional to 26,117, 39,175.42 and 9,477.01

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Solution

The fourth proportional to 26,117, 39,175.42 and 9,477.01 is: 14,215.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,117 : 39,175.42 = 9,477.01 : x
  2. Step 2: Convert to fraction form
    26,117/39,175.42 = 9,477.01/x
  3. Step 3: Cross multiply
    26,117x = 39,175.42 × 9,477.01
  4. Step 4: Simplify right side
    26,117x = 371,265,847.09
  5. Step 5: Solve for x
    x = 371,265,847.09/26,117
  6. Step 6: Final answer
    x = 14,215.49

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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.