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Finding the Fourth Proportional to 10,502.03, 14,492.23 and 5,964.60

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Solution

The fourth proportional to 10,502.03, 14,492.23 and 5,964.60 is: 8,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.03 : 14,492.23 = 5,964.60 : x
  2. Step 2: Convert to fraction form
    10,502.03/14,492.23 = 5,964.60/x
  3. Step 3: Cross multiply
    10,502.03x = 14,492.23 × 5,964.60
  4. Step 4: Simplify right side
    10,502.03x = 86,440,350.13
  5. Step 5: Solve for x
    x = 86,440,350.13/10,502.03
  6. Step 6: Final answer
    x = 8,230.82

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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.