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Finding the Fourth Proportional to 10,530.74, 14,532.03 and 5,814.92

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Solution

The fourth proportional to 10,530.74, 14,532.03 and 5,814.92 is: 8,024.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.74 : 14,532.03 = 5,814.92 : x
  2. Step 2: Convert to fraction form
    10,530.74/14,532.03 = 5,814.92/x
  3. Step 3: Cross multiply
    10,530.74x = 14,532.03 × 5,814.92
  4. Step 4: Simplify right side
    10,530.74x = 84,502,519.23
  5. Step 5: Solve for x
    x = 84,502,519.23/10,530.74
  6. Step 6: Final answer
    x = 8,024.37

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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.