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Finding the Fourth Proportional to 11,957.96, 16,503.54 and 7,242.32

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Solution

The fourth proportional to 11,957.96, 16,503.54 and 7,242.32 is: 9,995.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.96 : 16,503.54 = 7,242.32 : x
  2. Step 2: Convert to fraction form
    11,957.96/16,503.54 = 7,242.32/x
  3. Step 3: Cross multiply
    11,957.96x = 16,503.54 × 7,242.32
  4. Step 4: Simplify right side
    11,957.96x = 119,523,917.81
  5. Step 5: Solve for x
    x = 119,523,917.81/11,957.96
  6. Step 6: Final answer
    x = 9,995.34

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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.