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Finding the Fourth Proportional to 9,297.51, 13,935.74 and 4,620.78

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Solution

The fourth proportional to 9,297.51, 13,935.74 and 4,620.78 is: 6,925.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.51 : 13,935.74 = 4,620.78 : x
  2. Step 2: Convert to fraction form
    9,297.51/13,935.74 = 4,620.78/x
  3. Step 3: Cross multiply
    9,297.51x = 13,935.74 × 4,620.78
  4. Step 4: Simplify right side
    9,297.51x = 64,393,965.57
  5. Step 5: Solve for x
    x = 64,393,965.57/9,297.51
  6. Step 6: Final answer
    x = 6,925.94

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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.