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Finding the Fourth Proportional to 9,807.03, 13,531.59 and 5,829.57

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Solution

The fourth proportional to 9,807.03, 13,531.59 and 5,829.57 is: 8,043.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.03 : 13,531.59 = 5,829.57 : x
  2. Step 2: Convert to fraction form
    9,807.03/13,531.59 = 5,829.57/x
  3. Step 3: Cross multiply
    9,807.03x = 13,531.59 × 5,829.57
  4. Step 4: Simplify right side
    9,807.03x = 78,883,351.12
  5. Step 5: Solve for x
    x = 78,883,351.12/9,807.03
  6. Step 6: Final answer
    x = 8,043.55

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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.