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Finding the Fourth Proportional to 9,843.60, 14,762.76 and 6,723.07

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Solution

The fourth proportional to 9,843.60, 14,762.76 and 6,723.07 is: 10,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.60 : 14,762.76 = 6,723.07 : x
  2. Step 2: Convert to fraction form
    9,843.60/14,762.76 = 6,723.07/x
  3. Step 3: Cross multiply
    9,843.60x = 14,762.76 × 6,723.07
  4. Step 4: Simplify right side
    9,843.60x = 99,251,068.87
  5. Step 5: Solve for x
    x = 99,251,068.87/9,843.60
  6. Step 6: Final answer
    x = 10,082.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.