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Finding the Fourth Proportional to 10,477.44, 14,457 and 6,285.76

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Solution

The fourth proportional to 10,477.44, 14,457 and 6,285.76 is: 8,673.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.44 : 14,457 = 6,285.76 : x
  2. Step 2: Convert to fraction form
    10,477.44/14,457 = 6,285.76/x
  3. Step 3: Cross multiply
    10,477.44x = 14,457 × 6,285.76
  4. Step 4: Simplify right side
    10,477.44x = 90,873,232.32
  5. Step 5: Solve for x
    x = 90,873,232.32/10,477.44
  6. Step 6: Final answer
    x = 8,673.23

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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.