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Finding the Fourth Proportional to 9,599.02, 13,243.08 and 6,457.30

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Solution

The fourth proportional to 9,599.02, 13,243.08 and 6,457.30 is: 8,908.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.02 : 13,243.08 = 6,457.30 : x
  2. Step 2: Convert to fraction form
    9,599.02/13,243.08 = 6,457.30/x
  3. Step 3: Cross multiply
    9,599.02x = 13,243.08 × 6,457.30
  4. Step 4: Simplify right side
    9,599.02x = 85,514,540.48
  5. Step 5: Solve for x
    x = 85,514,540.48/9,599.02
  6. Step 6: Final answer
    x = 8,908.67

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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.