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Finding the Fourth Proportional to 9,923.96, 14,893.22 and 4,988.63

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Solution

The fourth proportional to 9,923.96, 14,893.22 and 4,988.63 is: 7,486.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.96 : 14,893.22 = 4,988.63 : x
  2. Step 2: Convert to fraction form
    9,923.96/14,893.22 = 4,988.63/x
  3. Step 3: Cross multiply
    9,923.96x = 14,893.22 × 4,988.63
  4. Step 4: Simplify right side
    9,923.96x = 74,296,702.09
  5. Step 5: Solve for x
    x = 74,296,702.09/9,923.96
  6. Step 6: Final answer
    x = 7,486.60

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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.