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Finding the Fourth Proportional to 9,203.58, 12,702.16 and 6,852.42

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Solution

The fourth proportional to 9,203.58, 12,702.16 and 6,852.42 is: 9,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.58 : 12,702.16 = 6,852.42 : x
  2. Step 2: Convert to fraction form
    9,203.58/12,702.16 = 6,852.42/x
  3. Step 3: Cross multiply
    9,203.58x = 12,702.16 × 6,852.42
  4. Step 4: Simplify right side
    9,203.58x = 87,040,535.23
  5. Step 5: Solve for x
    x = 87,040,535.23/9,203.58
  6. Step 6: Final answer
    x = 9,457.25

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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.