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Finding the Fourth Proportional to 9,824.60, 13,543.62 and 7,462.64

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Solution

The fourth proportional to 9,824.60, 13,543.62 and 7,462.64 is: 10,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.60 : 13,543.62 = 7,462.64 : x
  2. Step 2: Convert to fraction form
    9,824.60/13,543.62 = 7,462.64/x
  3. Step 3: Cross multiply
    9,824.60x = 13,543.62 × 7,462.64
  4. Step 4: Simplify right side
    9,824.60x = 101,071,160.36
  5. Step 5: Solve for x
    x = 101,071,160.36/9,824.60
  6. Step 6: Final answer
    x = 10,287.56

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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.