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Finding the Fourth Proportional to 9,983.80, 14,946.90 and 6,095.80

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Solution

The fourth proportional to 9,983.80, 14,946.90 and 6,095.80 is: 9,126.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.80 : 14,946.90 = 6,095.80 : x
  2. Step 2: Convert to fraction form
    9,983.80/14,946.90 = 6,095.80/x
  3. Step 3: Cross multiply
    9,983.80x = 14,946.90 × 6,095.80
  4. Step 4: Simplify right side
    9,983.80x = 91,113,313.02
  5. Step 5: Solve for x
    x = 91,113,313.02/9,983.80
  6. Step 6: Final answer
    x = 9,126.12

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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.