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Finding the Fourth Proportional to 9,784.69, 13,502.87 and 5,593.03

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Solution

The fourth proportional to 9,784.69, 13,502.87 and 5,593.03 is: 7,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.69 : 13,502.87 = 5,593.03 : x
  2. Step 2: Convert to fraction form
    9,784.69/13,502.87 = 5,593.03/x
  3. Step 3: Cross multiply
    9,784.69x = 13,502.87 × 5,593.03
  4. Step 4: Simplify right side
    9,784.69x = 75,521,916.25
  5. Step 5: Solve for x
    x = 75,521,916.25/9,784.69
  6. Step 6: Final answer
    x = 7,718.38

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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.