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Finding the Fourth Proportional to 6,613.84, 9,130.80 and 4,500.76

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Solution

The fourth proportional to 6,613.84, 9,130.80 and 4,500.76 is: 6,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.84 : 9,130.80 = 4,500.76 : x
  2. Step 2: Convert to fraction form
    6,613.84/9,130.80 = 4,500.76/x
  3. Step 3: Cross multiply
    6,613.84x = 9,130.80 × 4,500.76
  4. Step 4: Simplify right side
    6,613.84x = 41,095,539.41
  5. Step 5: Solve for x
    x = 41,095,539.41/6,613.84
  6. Step 6: Final answer
    x = 6,213.57

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Half scale
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Double scale
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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.