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Finding the Fourth Proportional to 6,492.54, 9,740.44 and 1,812.54

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Solution

The fourth proportional to 6,492.54, 9,740.44 and 1,812.54 is: 2,719.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.54 : 9,740.44 = 1,812.54 : x
  2. Step 2: Convert to fraction form
    6,492.54/9,740.44 = 1,812.54/x
  3. Step 3: Cross multiply
    6,492.54x = 9,740.44 × 1,812.54
  4. Step 4: Simplify right side
    6,492.54x = 17,654,937.12
  5. Step 5: Solve for x
    x = 17,654,937.12/6,492.54
  6. Step 6: Final answer
    x = 2,719.27

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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.