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Finding the Fourth Proportional to 10,494, 14,477.13 and 6,457.23

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Solution

The fourth proportional to 10,494, 14,477.13 and 6,457.23 is: 8,908.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494 : 14,477.13 = 6,457.23 : x
  2. Step 2: Convert to fraction form
    10,494/14,477.13 = 6,457.23/x
  3. Step 3: Cross multiply
    10,494x = 14,477.13 × 6,457.23
  4. Step 4: Simplify right side
    10,494x = 93,482,158.15
  5. Step 5: Solve for x
    x = 93,482,158.15/10,494
  6. Step 6: Final answer
    x = 8,908.15

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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.