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Finding the Fourth Proportional to 7,895.64, 11,843.40 and 6,503.34

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Solution

The fourth proportional to 7,895.64, 11,843.40 and 6,503.34 is: 9,754.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.64 : 11,843.40 = 6,503.34 : x
  2. Step 2: Convert to fraction form
    7,895.64/11,843.40 = 6,503.34/x
  3. Step 3: Cross multiply
    7,895.64x = 11,843.40 × 6,503.34
  4. Step 4: Simplify right side
    7,895.64x = 77,021,656.96
  5. Step 5: Solve for x
    x = 77,021,656.96/7,895.64
  6. Step 6: Final answer
    x = 9,754.96

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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.