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Finding the Fourth Proportional to 5,353.02, 8,011.53 and 5,148.54

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Solution

The fourth proportional to 5,353.02, 8,011.53 and 5,148.54 is: 7,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,353.02 : 8,011.53 = 5,148.54 : x
  2. Step 2: Convert to fraction form
    5,353.02/8,011.53 = 5,148.54/x
  3. Step 3: Cross multiply
    5,353.02x = 8,011.53 × 5,148.54
  4. Step 4: Simplify right side
    5,353.02x = 41,247,682.67
  5. Step 5: Solve for x
    x = 41,247,682.67/5,353.02
  6. Step 6: Final answer
    x = 7,705.50

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Half scale
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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.