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Finding the Fourth Proportional to 10,693.63, 14,756.93 and 5,977.94

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Solution

The fourth proportional to 10,693.63, 14,756.93 and 5,977.94 is: 8,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.63 : 14,756.93 = 5,977.94 : x
  2. Step 2: Convert to fraction form
    10,693.63/14,756.93 = 5,977.94/x
  3. Step 3: Cross multiply
    10,693.63x = 14,756.93 × 5,977.94
  4. Step 4: Simplify right side
    10,693.63x = 88,216,042.12
  5. Step 5: Solve for x
    x = 88,216,042.12/10,693.63
  6. Step 6: Final answer
    x = 8,249.40

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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.