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Finding the Fourth Proportional to 10,726.64, 14,823.04 and 8,069.40

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Solution

The fourth proportional to 10,726.64, 14,823.04 and 8,069.40 is: 11,151.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.64 : 14,823.04 = 8,069.40 : x
  2. Step 2: Convert to fraction form
    10,726.64/14,823.04 = 8,069.40/x
  3. Step 3: Cross multiply
    10,726.64x = 14,823.04 × 8,069.40
  4. Step 4: Simplify right side
    10,726.64x = 119,613,038.98
  5. Step 5: Solve for x
    x = 119,613,038.98/10,726.64
  6. Step 6: Final answer
    x = 11,151.03

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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.