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Finding the Fourth Proportional to 11,572.99, 15,970.71 and 6,267.76

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Solution

The fourth proportional to 11,572.99, 15,970.71 and 6,267.76 is: 8,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.99 : 15,970.71 = 6,267.76 : x
  2. Step 2: Convert to fraction form
    11,572.99/15,970.71 = 6,267.76/x
  3. Step 3: Cross multiply
    11,572.99x = 15,970.71 × 6,267.76
  4. Step 4: Simplify right side
    11,572.99x = 100,100,577.31
  5. Step 5: Solve for x
    x = 100,100,577.31/11,572.99
  6. Step 6: Final answer
    x = 8,649.50

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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.