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Finding the Fourth Proportional to 10,624.56, 15,937 and 3,699.28

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Solution

The fourth proportional to 10,624.56, 15,937 and 3,699.28 is: 5,548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.56 : 15,937 = 3,699.28 : x
  2. Step 2: Convert to fraction form
    10,624.56/15,937 = 3,699.28/x
  3. Step 3: Cross multiply
    10,624.56x = 15,937 × 3,699.28
  4. Step 4: Simplify right side
    10,624.56x = 58,955,425.36
  5. Step 5: Solve for x
    x = 58,955,425.36/10,624.56
  6. Step 6: Final answer
    x = 5,548.98

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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.