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Finding the Fourth Proportional to 9,699.88, 14,553.98 and 6,583.40

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Solution

The fourth proportional to 9,699.88, 14,553.98 and 6,583.40 is: 9,877.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.88 : 14,553.98 = 6,583.40 : x
  2. Step 2: Convert to fraction form
    9,699.88/14,553.98 = 6,583.40/x
  3. Step 3: Cross multiply
    9,699.88x = 14,553.98 × 6,583.40
  4. Step 4: Simplify right side
    9,699.88x = 95,814,671.93
  5. Step 5: Solve for x
    x = 95,814,671.93/9,699.88
  6. Step 6: Final answer
    x = 9,877.92

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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.