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Finding the Fourth Proportional to 7,563.76, 10,437.20 and 4,206.04

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Solution

The fourth proportional to 7,563.76, 10,437.20 and 4,206.04 is: 5,803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.76 : 10,437.20 = 4,206.04 : x
  2. Step 2: Convert to fraction form
    7,563.76/10,437.20 = 4,206.04/x
  3. Step 3: Cross multiply
    7,563.76x = 10,437.20 × 4,206.04
  4. Step 4: Simplify right side
    7,563.76x = 43,899,207.47
  5. Step 5: Solve for x
    x = 43,899,207.47/7,563.76
  6. Step 6: Final answer
    x = 5,803.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.