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Finding the Fourth Proportional to 10,492.64, 14,478.14 and 6,015.56

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Solution

The fourth proportional to 10,492.64, 14,478.14 and 6,015.56 is: 8,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.64 : 14,478.14 = 6,015.56 : x
  2. Step 2: Convert to fraction form
    10,492.64/14,478.14 = 6,015.56/x
  3. Step 3: Cross multiply
    10,492.64x = 14,478.14 × 6,015.56
  4. Step 4: Simplify right side
    10,492.64x = 87,094,171.09
  5. Step 5: Solve for x
    x = 87,094,171.09/10,492.64
  6. Step 6: Final answer
    x = 8,300.51

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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.