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Finding the Fourth Proportional to 23,389.50, 35,085.96 and 9,538.50

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Solution

The fourth proportional to 23,389.50, 35,085.96 and 9,538.50 is: 14,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,389.50 : 35,085.96 = 9,538.50 : x
  2. Step 2: Convert to fraction form
    23,389.50/35,085.96 = 9,538.50/x
  3. Step 3: Cross multiply
    23,389.50x = 35,085.96 × 9,538.50
  4. Step 4: Simplify right side
    23,389.50x = 334,667,429.46
  5. Step 5: Solve for x
    x = 334,667,429.46/23,389.50
  6. Step 6: Final answer
    x = 14,308.45

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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.