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Finding the Fourth Proportional to 9,598.26, 14,372.46 and 8,220.45

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Solution

The fourth proportional to 9,598.26, 14,372.46 and 8,220.45 is: 12,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.26 : 14,372.46 = 8,220.45 : x
  2. Step 2: Convert to fraction form
    9,598.26/14,372.46 = 8,220.45/x
  3. Step 3: Cross multiply
    9,598.26x = 14,372.46 × 8,220.45
  4. Step 4: Simplify right side
    9,598.26x = 118,148,088.81
  5. Step 5: Solve for x
    x = 118,148,088.81/9,598.26
  6. Step 6: Final answer
    x = 12,309.32

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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.