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Finding the Fourth Proportional to 10,509.44, 14,508.96 and 6,977.48

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Solution

The fourth proportional to 10,509.44, 14,508.96 and 6,977.48 is: 9,632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.44 : 14,508.96 = 6,977.48 : x
  2. Step 2: Convert to fraction form
    10,509.44/14,508.96 = 6,977.48/x
  3. Step 3: Cross multiply
    10,509.44x = 14,508.96 × 6,977.48
  4. Step 4: Simplify right side
    10,509.44x = 101,235,978.22
  5. Step 5: Solve for x
    x = 101,235,978.22/10,509.44
  6. Step 6: Final answer
    x = 9,632.86

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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.