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Finding the Fourth Proportional to 6,492.55, 9,738.82 and 1,562.19

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Solution

The fourth proportional to 6,492.55, 9,738.82 and 1,562.19 is: 2,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.55 : 9,738.82 = 1,562.19 : x
  2. Step 2: Convert to fraction form
    6,492.55/9,738.82 = 1,562.19/x
  3. Step 3: Cross multiply
    6,492.55x = 9,738.82 × 1,562.19
  4. Step 4: Simplify right side
    6,492.55x = 15,213,887.22
  5. Step 5: Solve for x
    x = 15,213,887.22/6,492.55
  6. Step 6: Final answer
    x = 2,343.28

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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.