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Finding the Fourth Proportional to 9,774.84, 14,665.52 and 6,500.84

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Solution

The fourth proportional to 9,774.84, 14,665.52 and 6,500.84 is: 9,753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.84 : 14,665.52 = 6,500.84 : x
  2. Step 2: Convert to fraction form
    9,774.84/14,665.52 = 6,500.84/x
  3. Step 3: Cross multiply
    9,774.84x = 14,665.52 × 6,500.84
  4. Step 4: Simplify right side
    9,774.84x = 95,338,199.04
  5. Step 5: Solve for x
    x = 95,338,199.04/9,774.84
  6. Step 6: Final answer
    x = 9,753.43

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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.