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Finding the Fourth Proportional to 6,492.32, 9,740.40 and 2,110.40

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Solution

The fourth proportional to 6,492.32, 9,740.40 and 2,110.40 is: 3,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.32 : 9,740.40 = 2,110.40 : x
  2. Step 2: Convert to fraction form
    6,492.32/9,740.40 = 2,110.40/x
  3. Step 3: Cross multiply
    6,492.32x = 9,740.40 × 2,110.40
  4. Step 4: Simplify right side
    6,492.32x = 20,556,140.16
  5. Step 5: Solve for x
    x = 20,556,140.16/6,492.32
  6. Step 6: Final answer
    x = 3,166.22

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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.