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Finding the Fourth Proportional to 15,206.56, 22,809.84 and 4,817.50

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Solution

The fourth proportional to 15,206.56, 22,809.84 and 4,817.50 is: 7,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.56 : 22,809.84 = 4,817.50 : x
  2. Step 2: Convert to fraction form
    15,206.56/22,809.84 = 4,817.50/x
  3. Step 3: Cross multiply
    15,206.56x = 22,809.84 × 4,817.50
  4. Step 4: Simplify right side
    15,206.56x = 109,886,404.20
  5. Step 5: Solve for x
    x = 109,886,404.20/15,206.56
  6. Step 6: Final answer
    x = 7,226.25

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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.