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Finding the Fourth Proportional to 9,956.93, 14,935.39 and 7,767.50

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Solution

The fourth proportional to 9,956.93, 14,935.39 and 7,767.50 is: 11,651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.93 : 14,935.39 = 7,767.50 : x
  2. Step 2: Convert to fraction form
    9,956.93/14,935.39 = 7,767.50/x
  3. Step 3: Cross multiply
    9,956.93x = 14,935.39 × 7,767.50
  4. Step 4: Simplify right side
    9,956.93x = 116,010,547.73
  5. Step 5: Solve for x
    x = 116,010,547.73/9,956.93
  6. Step 6: Final answer
    x = 11,651.24

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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.