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Finding the Fourth Proportional to 10,602.02, 15,903.05 and 6,709.16

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Solution

The fourth proportional to 10,602.02, 15,903.05 and 6,709.16 is: 10,063.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.02 : 15,903.05 = 6,709.16 : x
  2. Step 2: Convert to fraction form
    10,602.02/15,903.05 = 6,709.16/x
  3. Step 3: Cross multiply
    10,602.02x = 15,903.05 × 6,709.16
  4. Step 4: Simplify right side
    10,602.02x = 106,695,993.88
  5. Step 5: Solve for x
    x = 106,695,993.88/10,602.02
  6. Step 6: Final answer
    x = 10,063.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.