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Finding the Fourth Proportional to 9,723.60, 13,647.60 and 9,723.60

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Solution

The fourth proportional to 9,723.60, 13,647.60 and 9,723.60 is: 13,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.60 : 13,647.60 = 9,723.60 : x
  2. Step 2: Convert to fraction form
    9,723.60/13,647.60 = 9,723.60/x
  3. Step 3: Cross multiply
    9,723.60x = 13,647.60 × 9,723.60
  4. Step 4: Simplify right side
    9,723.60x = 132,703,803.36
  5. Step 5: Solve for x
    x = 132,703,803.36/9,723.60
  6. Step 6: Final answer
    x = 13,647.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.