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Finding the Fourth Proportional to 9,983.40, 14,978.70 and 9,623.40

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Solution

The fourth proportional to 9,983.40, 14,978.70 and 9,623.40 is: 14,438.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.40 : 14,978.70 = 9,623.40 : x
  2. Step 2: Convert to fraction form
    9,983.40/14,978.70 = 9,623.40/x
  3. Step 3: Cross multiply
    9,983.40x = 14,978.70 × 9,623.40
  4. Step 4: Simplify right side
    9,983.40x = 144,146,021.58
  5. Step 5: Solve for x
    x = 144,146,021.58/9,983.40
  6. Step 6: Final answer
    x = 14,438.57

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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.