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Finding the Fourth Proportional to 21,889.82, 32,840.14 and 6,307.32

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Solution

The fourth proportional to 21,889.82, 32,840.14 and 6,307.32 is: 9,462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,889.82 : 32,840.14 = 6,307.32 : x
  2. Step 2: Convert to fraction form
    21,889.82/32,840.14 = 6,307.32/x
  3. Step 3: Cross multiply
    21,889.82x = 32,840.14 × 6,307.32
  4. Step 4: Simplify right side
    21,889.82x = 207,133,271.82
  5. Step 5: Solve for x
    x = 207,133,271.82/21,889.82
  6. Step 6: Final answer
    x = 9,462.54

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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.