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Finding the Fourth Proportional to 10,301, 14,215.46 and 6,112.84

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Solution

The fourth proportional to 10,301, 14,215.46 and 6,112.84 is: 8,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301 : 14,215.46 = 6,112.84 : x
  2. Step 2: Convert to fraction form
    10,301/14,215.46 = 6,112.84/x
  3. Step 3: Cross multiply
    10,301x = 14,215.46 × 6,112.84
  4. Step 4: Simplify right side
    10,301x = 86,896,832.51
  5. Step 5: Solve for x
    x = 86,896,832.51/10,301
  6. Step 6: Final answer
    x = 8,435.77

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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.