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Finding the Fourth Proportional to 9,598.95, 14,372.46 and 4,972.23

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Solution

The fourth proportional to 9,598.95, 14,372.46 and 4,972.23 is: 7,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.95 : 14,372.46 = 4,972.23 : x
  2. Step 2: Convert to fraction form
    9,598.95/14,372.46 = 4,972.23/x
  3. Step 3: Cross multiply
    9,598.95x = 14,372.46 × 4,972.23
  4. Step 4: Simplify right side
    9,598.95x = 71,463,176.79
  5. Step 5: Solve for x
    x = 71,463,176.79/9,598.95
  6. Step 6: Final answer
    x = 7,444.90

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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.