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Finding the Fourth Proportional to 9,841, 13,580.58 and 6,115

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Solution

The fourth proportional to 9,841, 13,580.58 and 6,115 is: 8,438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841 : 13,580.58 = 6,115 : x
  2. Step 2: Convert to fraction form
    9,841/13,580.58 = 6,115/x
  3. Step 3: Cross multiply
    9,841x = 13,580.58 × 6,115
  4. Step 4: Simplify right side
    9,841x = 83,045,246.70
  5. Step 5: Solve for x
    x = 83,045,246.70/9,841
  6. Step 6: Final answer
    x = 8,438.70

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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.