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Finding the Fourth Proportional to 9,977.74, 14,999.46 and 8,337.50

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Solution

The fourth proportional to 9,977.74, 14,999.46 and 8,337.50 is: 12,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.74 : 14,999.46 = 8,337.50 : x
  2. Step 2: Convert to fraction form
    9,977.74/14,999.46 = 8,337.50/x
  3. Step 3: Cross multiply
    9,977.74x = 14,999.46 × 8,337.50
  4. Step 4: Simplify right side
    9,977.74x = 125,057,997.75
  5. Step 5: Solve for x
    x = 125,057,997.75/9,977.74
  6. Step 6: Final answer
    x = 12,533.70

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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.