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Finding the Fourth Proportional to 9,852.36, 14,755.04 and 5,683.64

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Solution

The fourth proportional to 9,852.36, 14,755.04 and 5,683.64 is: 8,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.36 : 14,755.04 = 5,683.64 : x
  2. Step 2: Convert to fraction form
    9,852.36/14,755.04 = 5,683.64/x
  3. Step 3: Cross multiply
    9,852.36x = 14,755.04 × 5,683.64
  4. Step 4: Simplify right side
    9,852.36x = 83,862,335.55
  5. Step 5: Solve for x
    x = 83,862,335.55/9,852.36
  6. Step 6: Final answer
    x = 8,511.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.