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Finding the Fourth Proportional to 10,486.02, 14,452.92 and 6,943.08

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Solution

The fourth proportional to 10,486.02, 14,452.92 and 6,943.08 is: 9,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.02 : 14,452.92 = 6,943.08 : x
  2. Step 2: Convert to fraction form
    10,486.02/14,452.92 = 6,943.08/x
  3. Step 3: Cross multiply
    10,486.02x = 14,452.92 × 6,943.08
  4. Step 4: Simplify right side
    10,486.02x = 100,347,779.79
  5. Step 5: Solve for x
    x = 100,347,779.79/10,486.02
  6. Step 6: Final answer
    x = 9,569.67

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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.