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Finding the Fourth Proportional to 6,492.32, 8,950.56 and 4,724

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Solution

The fourth proportional to 6,492.32, 8,950.56 and 4,724 is: 6,512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.32 : 8,950.56 = 4,724 : x
  2. Step 2: Convert to fraction form
    6,492.32/8,950.56 = 4,724/x
  3. Step 3: Cross multiply
    6,492.32x = 8,950.56 × 4,724
  4. Step 4: Simplify right side
    6,492.32x = 42,282,445.44
  5. Step 5: Solve for x
    x = 42,282,445.44/6,492.32
  6. Step 6: Final answer
    x = 6,512.69

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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.