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Finding the Fourth Proportional to 16,875.68, 23,288 and 9,322.64

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Solution

The fourth proportional to 16,875.68, 23,288 and 9,322.64 is: 12,865.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,875.68 : 23,288 = 9,322.64 : x
  2. Step 2: Convert to fraction form
    16,875.68/23,288 = 9,322.64/x
  3. Step 3: Cross multiply
    16,875.68x = 23,288 × 9,322.64
  4. Step 4: Simplify right side
    16,875.68x = 217,105,640.32
  5. Step 5: Solve for x
    x = 217,105,640.32/16,875.68
  6. Step 6: Final answer
    x = 12,865.00

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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.