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Finding the Fourth Proportional to 10,856.76, 14,985.08 and 6,143.78

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Solution

The fourth proportional to 10,856.76, 14,985.08 and 6,143.78 is: 8,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.76 : 14,985.08 = 6,143.78 : x
  2. Step 2: Convert to fraction form
    10,856.76/14,985.08 = 6,143.78/x
  3. Step 3: Cross multiply
    10,856.76x = 14,985.08 × 6,143.78
  4. Step 4: Simplify right side
    10,856.76x = 92,064,929.16
  5. Step 5: Solve for x
    x = 92,064,929.16/10,856.76
  6. Step 6: Final answer
    x = 8,479.96

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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.