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Finding the Fourth Proportional to 7,853.70, 11,788.83 and 4,741.32

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Solution

The fourth proportional to 7,853.70, 11,788.83 and 4,741.32 is: 7,116.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.70 : 11,788.83 = 4,741.32 : x
  2. Step 2: Convert to fraction form
    7,853.70/11,788.83 = 4,741.32/x
  3. Step 3: Cross multiply
    7,853.70x = 11,788.83 × 4,741.32
  4. Step 4: Simplify right side
    7,853.70x = 55,894,615.46
  5. Step 5: Solve for x
    x = 55,894,615.46/7,853.70
  6. Step 6: Final answer
    x = 7,116.98

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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.