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Finding the Fourth Proportional to 7,085.88, 9,773.46 and 4,723.92

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Solution

The fourth proportional to 7,085.88, 9,773.46 and 4,723.92 is: 6,515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.88 : 9,773.46 = 4,723.92 : x
  2. Step 2: Convert to fraction form
    7,085.88/9,773.46 = 4,723.92/x
  3. Step 3: Cross multiply
    7,085.88x = 9,773.46 × 4,723.92
  4. Step 4: Simplify right side
    7,085.88x = 46,169,043.16
  5. Step 5: Solve for x
    x = 46,169,043.16/7,085.88
  6. Step 6: Final answer
    x = 6,515.64

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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.