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Finding the Fourth Proportional to 6,644.76, 9,970.50 and 5,094.72

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Solution

The fourth proportional to 6,644.76, 9,970.50 and 5,094.72 is: 7,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.76 : 9,970.50 = 5,094.72 : x
  2. Step 2: Convert to fraction form
    6,644.76/9,970.50 = 5,094.72/x
  3. Step 3: Cross multiply
    6,644.76x = 9,970.50 × 5,094.72
  4. Step 4: Simplify right side
    6,644.76x = 50,796,905.76
  5. Step 5: Solve for x
    x = 50,796,905.76/6,644.76
  6. Step 6: Final answer
    x = 7,644.66

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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.