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Finding the Fourth Proportional to 16,647.16, 22,973.75 and 9,573.58

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Solution

The fourth proportional to 16,647.16, 22,973.75 and 9,573.58 is: 13,211.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647.16 : 22,973.75 = 9,573.58 : x
  2. Step 2: Convert to fraction form
    16,647.16/22,973.75 = 9,573.58/x
  3. Step 3: Cross multiply
    16,647.16x = 22,973.75 × 9,573.58
  4. Step 4: Simplify right side
    16,647.16x = 219,941,033.53
  5. Step 5: Solve for x
    x = 219,941,033.53/16,647.16
  6. Step 6: Final answer
    x = 13,211.93

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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.