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Finding the Fourth Proportional to 4,596.64, 6,893.28 and 1,674.08

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Solution

The fourth proportional to 4,596.64, 6,893.28 and 1,674.08 is: 2,510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.64 : 6,893.28 = 1,674.08 : x
  2. Step 2: Convert to fraction form
    4,596.64/6,893.28 = 1,674.08/x
  3. Step 3: Cross multiply
    4,596.64x = 6,893.28 × 1,674.08
  4. Step 4: Simplify right side
    4,596.64x = 11,539,902.18
  5. Step 5: Solve for x
    x = 11,539,902.18/4,596.64
  6. Step 6: Final answer
    x = 2,510.51

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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.