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Finding the Fourth Proportional to 9,766.84, 14,653.50 and 6,492.82

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Solution

The fourth proportional to 9,766.84, 14,653.50 and 6,492.82 is: 9,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.84 : 14,653.50 = 6,492.82 : x
  2. Step 2: Convert to fraction form
    9,766.84/14,653.50 = 6,492.82/x
  3. Step 3: Cross multiply
    9,766.84x = 14,653.50 × 6,492.82
  4. Step 4: Simplify right side
    9,766.84x = 95,142,537.87
  5. Step 5: Solve for x
    x = 95,142,537.87/9,766.84
  6. Step 6: Final answer
    x = 9,741.38

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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.