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Finding the Fourth Proportional to 10,703.44, 14,776.68 and 7,348.24

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Solution

The fourth proportional to 10,703.44, 14,776.68 and 7,348.24 is: 10,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.44 : 14,776.68 = 7,348.24 : x
  2. Step 2: Convert to fraction form
    10,703.44/14,776.68 = 7,348.24/x
  3. Step 3: Cross multiply
    10,703.44x = 14,776.68 × 7,348.24
  4. Step 4: Simplify right side
    10,703.44x = 108,582,591.04
  5. Step 5: Solve for x
    x = 108,582,591.04/10,703.44
  6. Step 6: Final answer
    x = 10,144.64

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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.