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Finding the Fourth Proportional to 23,506.83, 35,256.77 and 7,713.53

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Solution

The fourth proportional to 23,506.83, 35,256.77 and 7,713.53 is: 11,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506.83 : 35,256.77 = 7,713.53 : x
  2. Step 2: Convert to fraction form
    23,506.83/35,256.77 = 7,713.53/x
  3. Step 3: Cross multiply
    23,506.83x = 35,256.77 × 7,713.53
  4. Step 4: Simplify right side
    23,506.83x = 271,954,153.10
  5. Step 5: Solve for x
    x = 271,954,153.10/23,506.83
  6. Step 6: Final answer
    x = 11,569.15

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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.