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Finding the Fourth Proportional to 8,444.74, 11,657.03 and 7,559.01

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Solution

The fourth proportional to 8,444.74, 11,657.03 and 7,559.01 is: 10,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.74 : 11,657.03 = 7,559.01 : x
  2. Step 2: Convert to fraction form
    8,444.74/11,657.03 = 7,559.01/x
  3. Step 3: Cross multiply
    8,444.74x = 11,657.03 × 7,559.01
  4. Step 4: Simplify right side
    8,444.74x = 88,115,606.34
  5. Step 5: Solve for x
    x = 88,115,606.34/8,444.74
  6. Step 6: Final answer
    x = 10,434.38

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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.