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Finding the Fourth Proportional to 9,486.10, 13,100.30 and 7,823.98

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Solution

The fourth proportional to 9,486.10, 13,100.30 and 7,823.98 is: 10,804.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.10 : 13,100.30 = 7,823.98 : x
  2. Step 2: Convert to fraction form
    9,486.10/13,100.30 = 7,823.98/x
  3. Step 3: Cross multiply
    9,486.10x = 13,100.30 × 7,823.98
  4. Step 4: Simplify right side
    9,486.10x = 102,496,446.07
  5. Step 5: Solve for x
    x = 102,496,446.07/9,486.10
  6. Step 6: Final answer
    x = 10,804.91

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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.