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Finding the Fourth Proportional to 9,744.88, 14,608.04 and 3,166.44

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Solution

The fourth proportional to 9,744.88, 14,608.04 and 3,166.44 is: 4,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.88 : 14,608.04 = 3,166.44 : x
  2. Step 2: Convert to fraction form
    9,744.88/14,608.04 = 3,166.44/x
  3. Step 3: Cross multiply
    9,744.88x = 14,608.04 × 3,166.44
  4. Step 4: Simplify right side
    9,744.88x = 46,255,482.18
  5. Step 5: Solve for x
    x = 46,255,482.18/9,744.88
  6. Step 6: Final answer
    x = 4,746.64

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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.