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Finding the Fourth Proportional to 9,083.78, 12,535.22 and 5,307.30

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Solution

The fourth proportional to 9,083.78, 12,535.22 and 5,307.30 is: 7,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.78 : 12,535.22 = 5,307.30 : x
  2. Step 2: Convert to fraction form
    9,083.78/12,535.22 = 5,307.30/x
  3. Step 3: Cross multiply
    9,083.78x = 12,535.22 × 5,307.30
  4. Step 4: Simplify right side
    9,083.78x = 66,528,173.11
  5. Step 5: Solve for x
    x = 66,528,173.11/9,083.78
  6. Step 6: Final answer
    x = 7,323.84

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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.