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Finding the Fourth Proportional to 10,614.33, 14,648.13 and 5,898.63

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Solution

The fourth proportional to 10,614.33, 14,648.13 and 5,898.63 is: 8,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.33 : 14,648.13 = 5,898.63 : x
  2. Step 2: Convert to fraction form
    10,614.33/14,648.13 = 5,898.63/x
  3. Step 3: Cross multiply
    10,614.33x = 14,648.13 × 5,898.63
  4. Step 4: Simplify right side
    10,614.33x = 86,403,899.06
  5. Step 5: Solve for x
    x = 86,403,899.06/10,614.33
  6. Step 6: Final answer
    x = 8,140.31

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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.