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Finding the Fourth Proportional to 10,397.57, 15,602.83 and 6,023.57

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Solution

The fourth proportional to 10,397.57, 15,602.83 and 6,023.57 is: 9,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.57 : 15,602.83 = 6,023.57 : x
  2. Step 2: Convert to fraction form
    10,397.57/15,602.83 = 6,023.57/x
  3. Step 3: Cross multiply
    10,397.57x = 15,602.83 × 6,023.57
  4. Step 4: Simplify right side
    10,397.57x = 93,984,645.63
  5. Step 5: Solve for x
    x = 93,984,645.63/10,397.57
  6. Step 6: Final answer
    x = 9,039.10

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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.