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Finding the Fourth Proportional to 9,302.68, 12,837.47 and 5,323.53

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Solution

The fourth proportional to 9,302.68, 12,837.47 and 5,323.53 is: 7,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.68 : 12,837.47 = 5,323.53 : x
  2. Step 2: Convert to fraction form
    9,302.68/12,837.47 = 5,323.53/x
  3. Step 3: Cross multiply
    9,302.68x = 12,837.47 × 5,323.53
  4. Step 4: Simplify right side
    9,302.68x = 68,340,675.45
  5. Step 5: Solve for x
    x = 68,340,675.45/9,302.68
  6. Step 6: Final answer
    x = 7,346.35

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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.