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Finding the Fourth Proportional to 9,614.32, 14,406.84 and 7,137.52

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Solution

The fourth proportional to 9,614.32, 14,406.84 and 7,137.52 is: 10,695.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.32 : 14,406.84 = 7,137.52 : x
  2. Step 2: Convert to fraction form
    9,614.32/14,406.84 = 7,137.52/x
  3. Step 3: Cross multiply
    9,614.32x = 14,406.84 × 7,137.52
  4. Step 4: Simplify right side
    9,614.32x = 102,829,108.64
  5. Step 5: Solve for x
    x = 102,829,108.64/9,614.32
  6. Step 6: Final answer
    x = 10,695.41

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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.