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Finding the Fourth Proportional to 19,645.96, 29,467.98 and 7,333

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Solution

The fourth proportional to 19,645.96, 29,467.98 and 7,333 is: 10,999.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,645.96 : 29,467.98 = 7,333 : x
  2. Step 2: Convert to fraction form
    19,645.96/29,467.98 = 7,333/x
  3. Step 3: Cross multiply
    19,645.96x = 29,467.98 × 7,333
  4. Step 4: Simplify right side
    19,645.96x = 216,088,697.34
  5. Step 5: Solve for x
    x = 216,088,697.34/19,645.96
  6. Step 6: Final answer
    x = 10,999.14

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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.