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Finding the Fourth Proportional to 9,602.96, 14,407.29 and 4,926.27

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Solution

The fourth proportional to 9,602.96, 14,407.29 and 4,926.27 is: 7,390.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.96 : 14,407.29 = 4,926.27 : x
  2. Step 2: Convert to fraction form
    9,602.96/14,407.29 = 4,926.27/x
  3. Step 3: Cross multiply
    9,602.96x = 14,407.29 × 4,926.27
  4. Step 4: Simplify right side
    9,602.96x = 70,974,187.35
  5. Step 5: Solve for x
    x = 70,974,187.35/9,602.96
  6. Step 6: Final answer
    x = 7,390.87

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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.