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Finding the Fourth Proportional to 7,842.03, 10,824.09 and 4,856.19

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Solution

The fourth proportional to 7,842.03, 10,824.09 and 4,856.19 is: 6,702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.03 : 10,824.09 = 4,856.19 : x
  2. Step 2: Convert to fraction form
    7,842.03/10,824.09 = 4,856.19/x
  3. Step 3: Cross multiply
    7,842.03x = 10,824.09 × 4,856.19
  4. Step 4: Simplify right side
    7,842.03x = 52,563,837.62
  5. Step 5: Solve for x
    x = 52,563,837.62/7,842.03
  6. Step 6: Final answer
    x = 6,702.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.