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Finding the Fourth Proportional to 9,840.70, 13,579.95 and 5,364.28

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Solution

The fourth proportional to 9,840.70, 13,579.95 and 5,364.28 is: 7,402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.70 : 13,579.95 = 5,364.28 : x
  2. Step 2: Convert to fraction form
    9,840.70/13,579.95 = 5,364.28/x
  3. Step 3: Cross multiply
    9,840.70x = 13,579.95 × 5,364.28
  4. Step 4: Simplify right side
    9,840.70x = 72,846,654.19
  5. Step 5: Solve for x
    x = 72,846,654.19/9,840.70
  6. Step 6: Final answer
    x = 7,402.59

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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.