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Finding the Fourth Proportional to 10,295.93, 14,218.47 and 8,795.10

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Solution

The fourth proportional to 10,295.93, 14,218.47 and 8,795.10 is: 12,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.93 : 14,218.47 = 8,795.10 : x
  2. Step 2: Convert to fraction form
    10,295.93/14,218.47 = 8,795.10/x
  3. Step 3: Cross multiply
    10,295.93x = 14,218.47 × 8,795.10
  4. Step 4: Simplify right side
    10,295.93x = 125,052,865.50
  5. Step 5: Solve for x
    x = 125,052,865.50/10,295.93
  6. Step 6: Final answer
    x = 12,145.85

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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.