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Finding the Fourth Proportional to 7,902.50, 11,853.95 and 6,056.91

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Solution

The fourth proportional to 7,902.50, 11,853.95 and 6,056.91 is: 9,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.50 : 11,853.95 = 6,056.91 : x
  2. Step 2: Convert to fraction form
    7,902.50/11,853.95 = 6,056.91/x
  3. Step 3: Cross multiply
    7,902.50x = 11,853.95 × 6,056.91
  4. Step 4: Simplify right side
    7,902.50x = 71,798,278.01
  5. Step 5: Solve for x
    x = 71,798,278.01/7,902.50
  6. Step 6: Final answer
    x = 9,085.52

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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.