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Finding the Fourth Proportional to 7,698.99, 11,547.23 and 2,767.71

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Solution

The fourth proportional to 7,698.99, 11,547.23 and 2,767.71 is: 4,151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.99 : 11,547.23 = 2,767.71 : x
  2. Step 2: Convert to fraction form
    7,698.99/11,547.23 = 2,767.71/x
  3. Step 3: Cross multiply
    7,698.99x = 11,547.23 × 2,767.71
  4. Step 4: Simplify right side
    7,698.99x = 31,959,370.10
  5. Step 5: Solve for x
    x = 31,959,370.10/7,698.99
  6. Step 6: Final answer
    x = 4,151.11

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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.