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Finding the Fourth Proportional to 10,803.70, 14,909.01 and 6,023.58

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Solution

The fourth proportional to 10,803.70, 14,909.01 and 6,023.58 is: 8,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.70 : 14,909.01 = 6,023.58 : x
  2. Step 2: Convert to fraction form
    10,803.70/14,909.01 = 6,023.58/x
  3. Step 3: Cross multiply
    10,803.70x = 14,909.01 × 6,023.58
  4. Step 4: Simplify right side
    10,803.70x = 89,805,614.46
  5. Step 5: Solve for x
    x = 89,805,614.46/10,803.70
  6. Step 6: Final answer
    x = 8,312.49

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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.