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Finding the Fourth Proportional to 10,586.03, 14,602.28 and 6,334.74

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Solution

The fourth proportional to 10,586.03, 14,602.28 and 6,334.74 is: 8,738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.03 : 14,602.28 = 6,334.74 : x
  2. Step 2: Convert to fraction form
    10,586.03/14,602.28 = 6,334.74/x
  3. Step 3: Cross multiply
    10,586.03x = 14,602.28 × 6,334.74
  4. Step 4: Simplify right side
    10,586.03x = 92,501,615.53
  5. Step 5: Solve for x
    x = 92,501,615.53/10,586.03
  6. Step 6: Final answer
    x = 8,738.09

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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.