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Finding the Fourth Proportional to 10,503, 14,493.80 and 6,026.67

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Solution

The fourth proportional to 10,503, 14,493.80 and 6,026.67 is: 8,316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503 : 14,493.80 = 6,026.67 : x
  2. Step 2: Convert to fraction form
    10,503/14,493.80 = 6,026.67/x
  3. Step 3: Cross multiply
    10,503x = 14,493.80 × 6,026.67
  4. Step 4: Simplify right side
    10,503x = 87,349,319.51
  5. Step 5: Solve for x
    x = 87,349,319.51/10,503
  6. Step 6: Final answer
    x = 8,316.61

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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.