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Finding the Fourth Proportional to 9,807.49, 13,532.29 and 5,827.15

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Solution

The fourth proportional to 9,807.49, 13,532.29 and 5,827.15 is: 8,040.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.49 : 13,532.29 = 5,827.15 : x
  2. Step 2: Convert to fraction form
    9,807.49/13,532.29 = 5,827.15/x
  3. Step 3: Cross multiply
    9,807.49x = 13,532.29 × 5,827.15
  4. Step 4: Simplify right side
    9,807.49x = 78,854,683.67
  5. Step 5: Solve for x
    x = 78,854,683.67/9,807.49
  6. Step 6: Final answer
    x = 8,040.25

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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.