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Finding the Fourth Proportional to 12,364.14, 17,062.95 and 6,775.14

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Solution

The fourth proportional to 12,364.14, 17,062.95 and 6,775.14 is: 9,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.14 : 17,062.95 = 6,775.14 : x
  2. Step 2: Convert to fraction form
    12,364.14/17,062.95 = 6,775.14/x
  3. Step 3: Cross multiply
    12,364.14x = 17,062.95 × 6,775.14
  4. Step 4: Simplify right side
    12,364.14x = 115,603,875.06
  5. Step 5: Solve for x
    x = 115,603,875.06/12,364.14
  6. Step 6: Final answer
    x = 9,349.93

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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.