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Finding the Fourth Proportional to 12,322.66, 17,005.44 and 7,017.50

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Solution

The fourth proportional to 12,322.66, 17,005.44 and 7,017.50 is: 9,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.66 : 17,005.44 = 7,017.50 : x
  2. Step 2: Convert to fraction form
    12,322.66/17,005.44 = 7,017.50/x
  3. Step 3: Cross multiply
    12,322.66x = 17,005.44 × 7,017.50
  4. Step 4: Simplify right side
    12,322.66x = 119,335,675.20
  5. Step 5: Solve for x
    x = 119,335,675.20/12,322.66
  6. Step 6: Final answer
    x = 9,684.25

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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.