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Finding the Fourth Proportional to 9,814.77, 13,535.05 and 7,573.09

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Solution

The fourth proportional to 9,814.77, 13,535.05 and 7,573.09 is: 10,443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.77 : 13,535.05 = 7,573.09 : x
  2. Step 2: Convert to fraction form
    9,814.77/13,535.05 = 7,573.09/x
  3. Step 3: Cross multiply
    9,814.77x = 13,535.05 × 7,573.09
  4. Step 4: Simplify right side
    9,814.77x = 102,502,151.80
  5. Step 5: Solve for x
    x = 102,502,151.80/9,814.77
  6. Step 6: Final answer
    x = 10,443.66

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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.