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Finding the Fourth Proportional to 10,767, 14,858.70 and 6,577.56

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Solution

The fourth proportional to 10,767, 14,858.70 and 6,577.56 is: 9,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767 : 14,858.70 = 6,577.56 : x
  2. Step 2: Convert to fraction form
    10,767/14,858.70 = 6,577.56/x
  3. Step 3: Cross multiply
    10,767x = 14,858.70 × 6,577.56
  4. Step 4: Simplify right side
    10,767x = 97,733,990.77
  5. Step 5: Solve for x
    x = 97,733,990.77/10,767
  6. Step 6: Final answer
    x = 9,077.18

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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.