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Finding the Fourth Proportional to 10,334.76, 14,265.68 and 6,143

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Solution

The fourth proportional to 10,334.76, 14,265.68 and 6,143 is: 8,479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334.76 : 14,265.68 = 6,143 : x
  2. Step 2: Convert to fraction form
    10,334.76/14,265.68 = 6,143/x
  3. Step 3: Cross multiply
    10,334.76x = 14,265.68 × 6,143
  4. Step 4: Simplify right side
    10,334.76x = 87,634,072.24
  5. Step 5: Solve for x
    x = 87,634,072.24/10,334.76
  6. Step 6: Final answer
    x = 8,479.55

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Double scale
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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.