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Finding the Fourth Proportional to 4,844.70, 6,666.44 and 4,700.16

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Solution

The fourth proportional to 4,844.70, 6,666.44 and 4,700.16 is: 6,467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844.70 : 6,666.44 = 4,700.16 : x
  2. Step 2: Convert to fraction form
    4,844.70/6,666.44 = 4,700.16/x
  3. Step 3: Cross multiply
    4,844.70x = 6,666.44 × 4,700.16
  4. Step 4: Simplify right side
    4,844.70x = 31,333,311.13
  5. Step 5: Solve for x
    x = 31,333,311.13/4,844.70
  6. Step 6: Final answer
    x = 6,467.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.