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Finding the Fourth Proportional to 9,503.70, 13,108.88 and 5,724.26

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Solution

The fourth proportional to 9,503.70, 13,108.88 and 5,724.26 is: 7,895.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.70 : 13,108.88 = 5,724.26 : x
  2. Step 2: Convert to fraction form
    9,503.70/13,108.88 = 5,724.26/x
  3. Step 3: Cross multiply
    9,503.70x = 13,108.88 × 5,724.26
  4. Step 4: Simplify right side
    9,503.70x = 75,038,637.43
  5. Step 5: Solve for x
    x = 75,038,637.43/9,503.70
  6. Step 6: Final answer
    x = 7,895.73

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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.