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Finding the Fourth Proportional to 6,154.34, 8,492.56 and 3,501.77

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Solution

The fourth proportional to 6,154.34, 8,492.56 and 3,501.77 is: 4,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.34 : 8,492.56 = 3,501.77 : x
  2. Step 2: Convert to fraction form
    6,154.34/8,492.56 = 3,501.77/x
  3. Step 3: Cross multiply
    6,154.34x = 8,492.56 × 3,501.77
  4. Step 4: Simplify right side
    6,154.34x = 29,738,940.61
  5. Step 5: Solve for x
    x = 29,738,940.61/6,154.34
  6. Step 6: Final answer
    x = 4,832.19

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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.