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Finding the Fourth Proportional to 4,670.64, 7,009.60 and 4,123.92

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Solution

The fourth proportional to 4,670.64, 7,009.60 and 4,123.92 is: 6,189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.64 : 7,009.60 = 4,123.92 : x
  2. Step 2: Convert to fraction form
    4,670.64/7,009.60 = 4,123.92/x
  3. Step 3: Cross multiply
    4,670.64x = 7,009.60 × 4,123.92
  4. Step 4: Simplify right side
    4,670.64x = 28,907,029.63
  5. Step 5: Solve for x
    x = 28,907,029.63/4,670.64
  6. Step 6: Final answer
    x = 6,189.09

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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.