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Finding the Fourth Proportional to 10,165.99, 14,029.10 and 5,689.45

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Solution

The fourth proportional to 10,165.99, 14,029.10 and 5,689.45 is: 7,851.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.99 : 14,029.10 = 5,689.45 : x
  2. Step 2: Convert to fraction form
    10,165.99/14,029.10 = 5,689.45/x
  3. Step 3: Cross multiply
    10,165.99x = 14,029.10 × 5,689.45
  4. Step 4: Simplify right side
    10,165.99x = 79,817,863.00
  5. Step 5: Solve for x
    x = 79,817,863.00/10,165.99
  6. Step 6: Final answer
    x = 7,851.46

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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.