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Finding the Fourth Proportional to 8,412.86, 11,611.53 and 4,828.40

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Solution

The fourth proportional to 8,412.86, 11,611.53 and 4,828.40 is: 6,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.86 : 11,611.53 = 4,828.40 : x
  2. Step 2: Convert to fraction form
    8,412.86/11,611.53 = 4,828.40/x
  3. Step 3: Cross multiply
    8,412.86x = 11,611.53 × 4,828.40
  4. Step 4: Simplify right side
    8,412.86x = 56,065,111.45
  5. Step 5: Solve for x
    x = 56,065,111.45/8,412.86
  6. Step 6: Final answer
    x = 6,664.22

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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.