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Finding the Fourth Proportional to 9,082, 12,533.16 and 5,307.76

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Solution

The fourth proportional to 9,082, 12,533.16 and 5,307.76 is: 7,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082 : 12,533.16 = 5,307.76 : x
  2. Step 2: Convert to fraction form
    9,082/12,533.16 = 5,307.76/x
  3. Step 3: Cross multiply
    9,082x = 12,533.16 × 5,307.76
  4. Step 4: Simplify right side
    9,082x = 66,523,005.32
  5. Step 5: Solve for x
    x = 66,523,005.32/9,082
  6. Step 6: Final answer
    x = 7,324.71

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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.