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Finding the Fourth Proportional to 8,364.84, 11,543.74 and 4,828.26

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Solution

The fourth proportional to 8,364.84, 11,543.74 and 4,828.26 is: 6,663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.84 : 11,543.74 = 4,828.26 : x
  2. Step 2: Convert to fraction form
    8,364.84/11,543.74 = 4,828.26/x
  3. Step 3: Cross multiply
    8,364.84x = 11,543.74 × 4,828.26
  4. Step 4: Simplify right side
    8,364.84x = 55,736,178.09
  5. Step 5: Solve for x
    x = 55,736,178.09/8,364.84
  6. Step 6: Final answer
    x = 6,663.15

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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.