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Finding the Fourth Proportional to 9,840.74, 13,580.24 and 5,364.47

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Solution

The fourth proportional to 9,840.74, 13,580.24 and 5,364.47 is: 7,402.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.74 : 13,580.24 = 5,364.47 : x
  2. Step 2: Convert to fraction form
    9,840.74/13,580.24 = 5,364.47/x
  3. Step 3: Cross multiply
    9,840.74x = 13,580.24 × 5,364.47
  4. Step 4: Simplify right side
    9,840.74x = 72,850,797.20
  5. Step 5: Solve for x
    x = 72,850,797.20/9,840.74
  6. Step 6: Final answer
    x = 7,402.98

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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.