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Finding the Fourth Proportional to 12,967.41, 17,895.88 and 9,775.08

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Solution

The fourth proportional to 12,967.41, 17,895.88 and 9,775.08 is: 13,490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.41 : 17,895.88 = 9,775.08 : x
  2. Step 2: Convert to fraction form
    12,967.41/17,895.88 = 9,775.08/x
  3. Step 3: Cross multiply
    12,967.41x = 17,895.88 × 9,775.08
  4. Step 4: Simplify right side
    12,967.41x = 174,933,670.89
  5. Step 5: Solve for x
    x = 174,933,670.89/12,967.41
  6. Step 6: Final answer
    x = 13,490.25

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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.