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Finding the Fourth Proportional to 10,670.64, 14,724.06 and 6,194.34

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Solution

The fourth proportional to 10,670.64, 14,724.06 and 6,194.34 is: 8,547.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.64 : 14,724.06 = 6,194.34 : x
  2. Step 2: Convert to fraction form
    10,670.64/14,724.06 = 6,194.34/x
  3. Step 3: Cross multiply
    10,670.64x = 14,724.06 × 6,194.34
  4. Step 4: Simplify right side
    10,670.64x = 91,205,833.82
  5. Step 5: Solve for x
    x = 91,205,833.82/10,670.64
  6. Step 6: Final answer
    x = 8,547.36

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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.