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Finding the Fourth Proportional to 10,348.79, 14,264.24 and 7,319.99

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Solution

The fourth proportional to 10,348.79, 14,264.24 and 7,319.99 is: 10,089.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.79 : 14,264.24 = 7,319.99 : x
  2. Step 2: Convert to fraction form
    10,348.79/14,264.24 = 7,319.99/x
  3. Step 3: Cross multiply
    10,348.79x = 14,264.24 × 7,319.99
  4. Step 4: Simplify right side
    10,348.79x = 104,414,148.12
  5. Step 5: Solve for x
    x = 104,414,148.12/10,348.79
  6. Step 6: Final answer
    x = 10,089.51

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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.