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Finding the Fourth Proportional to 10,491.47, 14,478.27 and 6,015.32

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Solution

The fourth proportional to 10,491.47, 14,478.27 and 6,015.32 is: 8,301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.47 : 14,478.27 = 6,015.32 : x
  2. Step 2: Convert to fraction form
    10,491.47/14,478.27 = 6,015.32/x
  3. Step 3: Cross multiply
    10,491.47x = 14,478.27 × 6,015.32
  4. Step 4: Simplify right side
    10,491.47x = 87,091,427.10
  5. Step 5: Solve for x
    x = 87,091,427.10/10,491.47
  6. Step 6: Final answer
    x = 8,301.17

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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.