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Finding the Fourth Proportional to 5,509, 8,263.50 and 5,232.16

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Solution

The fourth proportional to 5,509, 8,263.50 and 5,232.16 is: 7,848.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509 : 8,263.50 = 5,232.16 : x
  2. Step 2: Convert to fraction form
    5,509/8,263.50 = 5,232.16/x
  3. Step 3: Cross multiply
    5,509x = 8,263.50 × 5,232.16
  4. Step 4: Simplify right side
    5,509x = 43,235,954.16
  5. Step 5: Solve for x
    x = 43,235,954.16/5,509
  6. Step 6: Final answer
    x = 7,848.24

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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.