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Finding the Fourth Proportional to 9,510.90, 14,197.62 and 8,344.50

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Solution

The fourth proportional to 9,510.90, 14,197.62 and 8,344.50 is: 12,456.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.90 : 14,197.62 = 8,344.50 : x
  2. Step 2: Convert to fraction form
    9,510.90/14,197.62 = 8,344.50/x
  3. Step 3: Cross multiply
    9,510.90x = 14,197.62 × 8,344.50
  4. Step 4: Simplify right side
    9,510.90x = 118,472,040.09
  5. Step 5: Solve for x
    x = 118,472,040.09/9,510.90
  6. Step 6: Final answer
    x = 12,456.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.