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Finding the Fourth Proportional to 23,537.40, 35,306.10 and 9,686.40

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Solution

The fourth proportional to 23,537.40, 35,306.10 and 9,686.40 is: 14,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,537.40 : 35,306.10 = 9,686.40 : x
  2. Step 2: Convert to fraction form
    23,537.40/35,306.10 = 9,686.40/x
  3. Step 3: Cross multiply
    23,537.40x = 35,306.10 × 9,686.40
  4. Step 4: Simplify right side
    23,537.40x = 341,989,007.04
  5. Step 5: Solve for x
    x = 341,989,007.04/23,537.40
  6. Step 6: Final answer
    x = 14,529.60

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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.