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Finding the Fourth Proportional to 6,144.84, 9,217.30 and 1,527.84

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Solution

The fourth proportional to 6,144.84, 9,217.30 and 1,527.84 is: 2,291.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.84 : 9,217.30 = 1,527.84 : x
  2. Step 2: Convert to fraction form
    6,144.84/9,217.30 = 1,527.84/x
  3. Step 3: Cross multiply
    6,144.84x = 9,217.30 × 1,527.84
  4. Step 4: Simplify right side
    6,144.84x = 14,082,596.11
  5. Step 5: Solve for x
    x = 14,082,596.11/6,144.84
  6. Step 6: Final answer
    x = 2,291.77

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Half scale
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Double scale
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Similar ratio
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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.