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Finding the Fourth Proportional to 16,735.16, 23,095.02 and 9,283

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Solution

The fourth proportional to 16,735.16, 23,095.02 and 9,283 is: 12,810.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735.16 : 23,095.02 = 9,283 : x
  2. Step 2: Convert to fraction form
    16,735.16/23,095.02 = 9,283/x
  3. Step 3: Cross multiply
    16,735.16x = 23,095.02 × 9,283
  4. Step 4: Simplify right side
    16,735.16x = 214,391,070.66
  5. Step 5: Solve for x
    x = 214,391,070.66/16,735.16
  6. Step 6: Final answer
    x = 12,810.82

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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.