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Finding the Fourth Proportional to 9,657.50, 13,325.86 and 5,407.44

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Solution

The fourth proportional to 9,657.50, 13,325.86 and 5,407.44 is: 7,461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.50 : 13,325.86 = 5,407.44 : x
  2. Step 2: Convert to fraction form
    9,657.50/13,325.86 = 5,407.44/x
  3. Step 3: Cross multiply
    9,657.50x = 13,325.86 × 5,407.44
  4. Step 4: Simplify right side
    9,657.50x = 72,058,788.40
  5. Step 5: Solve for x
    x = 72,058,788.40/9,657.50
  6. Step 6: Final answer
    x = 7,461.43

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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.