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Finding the Fourth Proportional to 10,810.65, 14,919.25 and 8,153.45

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Solution

The fourth proportional to 10,810.65, 14,919.25 and 8,153.45 is: 11,252.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.65 : 14,919.25 = 8,153.45 : x
  2. Step 2: Convert to fraction form
    10,810.65/14,919.25 = 8,153.45/x
  3. Step 3: Cross multiply
    10,810.65x = 14,919.25 × 8,153.45
  4. Step 4: Simplify right side
    10,810.65x = 121,643,358.91
  5. Step 5: Solve for x
    x = 121,643,358.91/10,810.65
  6. Step 6: Final answer
    x = 11,252.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.