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Finding the Fourth Proportional to 9,673.68, 13,352.51 and 6,316.99

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Solution

The fourth proportional to 9,673.68, 13,352.51 and 6,316.99 is: 8,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.68 : 13,352.51 = 6,316.99 : x
  2. Step 2: Convert to fraction form
    9,673.68/13,352.51 = 6,316.99/x
  3. Step 3: Cross multiply
    9,673.68x = 13,352.51 × 6,316.99
  4. Step 4: Simplify right side
    9,673.68x = 84,347,672.14
  5. Step 5: Solve for x
    x = 84,347,672.14/9,673.68
  6. Step 6: Final answer
    x = 8,719.30

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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.