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Finding the Fourth Proportional to 8,036.75, 12,032.72 and 7,297.13

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Solution

The fourth proportional to 8,036.75, 12,032.72 and 7,297.13 is: 10,925.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,036.75 : 12,032.72 = 7,297.13 : x
  2. Step 2: Convert to fraction form
    8,036.75/12,032.72 = 7,297.13/x
  3. Step 3: Cross multiply
    8,036.75x = 12,032.72 × 7,297.13
  4. Step 4: Simplify right side
    8,036.75x = 87,804,225.44
  5. Step 5: Solve for x
    x = 87,804,225.44/8,036.75
  6. Step 6: Final answer
    x = 10,925.35

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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.