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Finding the Fourth Proportional to 10,477.50, 14,454.86 and 5,998.86

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Solution

The fourth proportional to 10,477.50, 14,454.86 and 5,998.86 is: 8,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.50 : 14,454.86 = 5,998.86 : x
  2. Step 2: Convert to fraction form
    10,477.50/14,454.86 = 5,998.86/x
  3. Step 3: Cross multiply
    10,477.50x = 14,454.86 × 5,998.86
  4. Step 4: Simplify right side
    10,477.50x = 86,712,685.21
  5. Step 5: Solve for x
    x = 86,712,685.21/10,477.50
  6. Step 6: Final answer
    x = 8,276.08

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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.