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Finding the Fourth Proportional to 9,734.68, 14,602.06 and 5,349.74

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Solution

The fourth proportional to 9,734.68, 14,602.06 and 5,349.74 is: 8,024.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.68 : 14,602.06 = 5,349.74 : x
  2. Step 2: Convert to fraction form
    9,734.68/14,602.06 = 5,349.74/x
  3. Step 3: Cross multiply
    9,734.68x = 14,602.06 × 5,349.74
  4. Step 4: Simplify right side
    9,734.68x = 78,117,224.46
  5. Step 5: Solve for x
    x = 78,117,224.46/9,734.68
  6. Step 6: Final answer
    x = 8,024.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.