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Finding the Fourth Proportional to 9,281.99, 12,806.30 and 5,302.87

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Solution

The fourth proportional to 9,281.99, 12,806.30 and 5,302.87 is: 7,316.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.99 : 12,806.30 = 5,302.87 : x
  2. Step 2: Convert to fraction form
    9,281.99/12,806.30 = 5,302.87/x
  3. Step 3: Cross multiply
    9,281.99x = 12,806.30 × 5,302.87
  4. Step 4: Simplify right side
    9,281.99x = 67,910,125.32
  5. Step 5: Solve for x
    x = 67,910,125.32/9,281.99
  6. Step 6: Final answer
    x = 7,316.33

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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.