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Finding the Fourth Proportional to 9,617.40, 14,409.09 and 6,681.96

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Solution

The fourth proportional to 9,617.40, 14,409.09 and 6,681.96 is: 10,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.40 : 14,409.09 = 6,681.96 : x
  2. Step 2: Convert to fraction form
    9,617.40/14,409.09 = 6,681.96/x
  3. Step 3: Cross multiply
    9,617.40x = 14,409.09 × 6,681.96
  4. Step 4: Simplify right side
    9,617.40x = 96,280,963.02
  5. Step 5: Solve for x
    x = 96,280,963.02/9,617.40
  6. Step 6: Final answer
    x = 10,011.12

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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.