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Finding the Fourth Proportional to 12,364.34, 17,062.80 and 6,775.34

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Solution

The fourth proportional to 12,364.34, 17,062.80 and 6,775.34 is: 9,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.34 : 17,062.80 = 6,775.34 : x
  2. Step 2: Convert to fraction form
    12,364.34/17,062.80 = 6,775.34/x
  3. Step 3: Cross multiply
    12,364.34x = 17,062.80 × 6,775.34
  4. Step 4: Simplify right side
    12,364.34x = 115,606,271.35
  5. Step 5: Solve for x
    x = 115,606,271.35/12,364.34
  6. Step 6: Final answer
    x = 9,349.98

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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.