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Finding the Fourth Proportional to 6,586.76, 9,099.12 and 5,113.64

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Solution

The fourth proportional to 6,586.76, 9,099.12 and 5,113.64 is: 7,064.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.76 : 9,099.12 = 5,113.64 : x
  2. Step 2: Convert to fraction form
    6,586.76/9,099.12 = 5,113.64/x
  3. Step 3: Cross multiply
    6,586.76x = 9,099.12 × 5,113.64
  4. Step 4: Simplify right side
    6,586.76x = 46,529,624.00
  5. Step 5: Solve for x
    x = 46,529,624.00/6,586.76
  6. Step 6: Final answer
    x = 7,064.11

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Half 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.