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Finding the Fourth Proportional to 9,605.27, 13,256.55 and 5,827.84

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Solution

The fourth proportional to 9,605.27, 13,256.55 and 5,827.84 is: 8,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.27 : 13,256.55 = 5,827.84 : x
  2. Step 2: Convert to fraction form
    9,605.27/13,256.55 = 5,827.84/x
  3. Step 3: Cross multiply
    9,605.27x = 13,256.55 × 5,827.84
  4. Step 4: Simplify right side
    9,605.27x = 77,257,019.21
  5. Step 5: Solve for x
    x = 77,257,019.21/9,605.27
  6. Step 6: Final answer
    x = 8,043.19

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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.