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Finding the Fourth Proportional to 9,701.70, 14,571.01 and 6,029.59

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Solution

The fourth proportional to 9,701.70, 14,571.01 and 6,029.59 is: 9,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.70 : 14,571.01 = 6,029.59 : x
  2. Step 2: Convert to fraction form
    9,701.70/14,571.01 = 6,029.59/x
  3. Step 3: Cross multiply
    9,701.70x = 14,571.01 × 6,029.59
  4. Step 4: Simplify right side
    9,701.70x = 87,857,216.19
  5. Step 5: Solve for x
    x = 87,857,216.19/9,701.70
  6. Step 6: Final answer
    x = 9,055.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.