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Finding the Fourth Proportional to 7,000.19, 9,659.97 and 4,013.96

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Solution

The fourth proportional to 7,000.19, 9,659.97 and 4,013.96 is: 5,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.19 : 9,659.97 = 4,013.96 : x
  2. Step 2: Convert to fraction form
    7,000.19/9,659.97 = 4,013.96/x
  3. Step 3: Cross multiply
    7,000.19x = 9,659.97 × 4,013.96
  4. Step 4: Simplify right side
    7,000.19x = 38,774,733.18
  5. Step 5: Solve for x
    x = 38,774,733.18/7,000.19
  6. Step 6: Final answer
    x = 5,539.10

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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.