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Finding the Fourth Proportional to 9,893.31, 13,652.94 and 6,116.37

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Solution

The fourth proportional to 9,893.31, 13,652.94 and 6,116.37 is: 8,440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.31 : 13,652.94 = 6,116.37 : x
  2. Step 2: Convert to fraction form
    9,893.31/13,652.94 = 6,116.37/x
  3. Step 3: Cross multiply
    9,893.31x = 13,652.94 × 6,116.37
  4. Step 4: Simplify right side
    9,893.31x = 83,506,432.63
  5. Step 5: Solve for x
    x = 83,506,432.63/9,893.31
  6. Step 6: Final answer
    x = 8,440.70

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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.