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Finding the Fourth Proportional to 16,875, 23,287.52 and 9,423

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Solution

The fourth proportional to 16,875, 23,287.52 and 9,423 is: 13,003.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,875 : 23,287.52 = 9,423 : x
  2. Step 2: Convert to fraction form
    16,875/23,287.52 = 9,423/x
  3. Step 3: Cross multiply
    16,875x = 23,287.52 × 9,423
  4. Step 4: Simplify right side
    16,875x = 219,438,300.96
  5. Step 5: Solve for x
    x = 219,438,300.96/16,875
  6. Step 6: Final answer
    x = 13,003.75

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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.