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Finding the Fourth Proportional to 6,437.40, 9,656.10 and 6,072.90

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Solution

The fourth proportional to 6,437.40, 9,656.10 and 6,072.90 is: 9,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.40 : 9,656.10 = 6,072.90 : x
  2. Step 2: Convert to fraction form
    6,437.40/9,656.10 = 6,072.90/x
  3. Step 3: Cross multiply
    6,437.40x = 9,656.10 × 6,072.90
  4. Step 4: Simplify right side
    6,437.40x = 58,640,529.69
  5. Step 5: Solve for x
    x = 58,640,529.69/6,437.40
  6. Step 6: Final answer
    x = 9,109.35

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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.