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Finding the Fourth Proportional to 9,463.58, 14,207.93 and 8,085.77

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Solution

The fourth proportional to 9,463.58, 14,207.93 and 8,085.77 is: 12,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.58 : 14,207.93 = 8,085.77 : x
  2. Step 2: Convert to fraction form
    9,463.58/14,207.93 = 8,085.77/x
  3. Step 3: Cross multiply
    9,463.58x = 14,207.93 × 8,085.77
  4. Step 4: Simplify right side
    9,463.58x = 114,882,054.16
  5. Step 5: Solve for x
    x = 114,882,054.16/9,463.58
  6. Step 6: Final answer
    x = 12,139.39

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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.