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Finding the Fourth Proportional to 15,927.95, 21,978.69 and 9,466.58

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Solution

The fourth proportional to 15,927.95, 21,978.69 and 9,466.58 is: 13,062.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,927.95 : 21,978.69 = 9,466.58 : x
  2. Step 2: Convert to fraction form
    15,927.95/21,978.69 = 9,466.58/x
  3. Step 3: Cross multiply
    15,927.95x = 21,978.69 × 9,466.58
  4. Step 4: Simplify right side
    15,927.95x = 208,063,027.18
  5. Step 5: Solve for x
    x = 208,063,027.18/15,927.95
  6. Step 6: Final answer
    x = 13,062.76

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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.