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Finding the Fourth Proportional to 17,209.94, 23,750.95 and 9,657

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Solution

The fourth proportional to 17,209.94, 23,750.95 and 9,657 is: 13,327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,209.94 : 23,750.95 = 9,657 : x
  2. Step 2: Convert to fraction form
    17,209.94/23,750.95 = 9,657/x
  3. Step 3: Cross multiply
    17,209.94x = 23,750.95 × 9,657
  4. Step 4: Simplify right side
    17,209.94x = 229,362,900.01
  5. Step 5: Solve for x
    x = 229,362,900.01/17,209.94
  6. Step 6: Final answer
    x = 13,327.35

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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.