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Finding the Fourth Proportional to 9,785.72, 13,504.27 and 5,810.11

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Solution

The fourth proportional to 9,785.72, 13,504.27 and 5,810.11 is: 8,017.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.72 : 13,504.27 = 5,810.11 : x
  2. Step 2: Convert to fraction form
    9,785.72/13,504.27 = 5,810.11/x
  3. Step 3: Cross multiply
    9,785.72x = 13,504.27 × 5,810.11
  4. Step 4: Simplify right side
    9,785.72x = 78,461,294.17
  5. Step 5: Solve for x
    x = 78,461,294.17/9,785.72
  6. Step 6: Final answer
    x = 8,017.94

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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.