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Finding the Fourth Proportional to 7,032.50, 9,705.03 and 4,238.18

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Solution

The fourth proportional to 7,032.50, 9,705.03 and 4,238.18 is: 5,848.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.50 : 9,705.03 = 4,238.18 : x
  2. Step 2: Convert to fraction form
    7,032.50/9,705.03 = 4,238.18/x
  3. Step 3: Cross multiply
    7,032.50x = 9,705.03 × 4,238.18
  4. Step 4: Simplify right side
    7,032.50x = 41,131,664.05
  5. Step 5: Solve for x
    x = 41,131,664.05/7,032.50
  6. Step 6: Final answer
    x = 5,848.80

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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.