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Finding the Fourth Proportional to 10,742.70, 14,825.04 and 6,026.88

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Solution

The fourth proportional to 10,742.70, 14,825.04 and 6,026.88 is: 8,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.70 : 14,825.04 = 6,026.88 : x
  2. Step 2: Convert to fraction form
    10,742.70/14,825.04 = 6,026.88/x
  3. Step 3: Cross multiply
    10,742.70x = 14,825.04 × 6,026.88
  4. Step 4: Simplify right side
    10,742.70x = 89,348,737.08
  5. Step 5: Solve for x
    x = 89,348,737.08/10,742.70
  6. Step 6: Final answer
    x = 8,317.16

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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.