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Finding the Fourth Proportional to 13,151.76, 18,153.48 and 7,566.48

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Solution

The fourth proportional to 13,151.76, 18,153.48 and 7,566.48 is: 10,444.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,151.76 : 18,153.48 = 7,566.48 : x
  2. Step 2: Convert to fraction form
    13,151.76/18,153.48 = 7,566.48/x
  3. Step 3: Cross multiply
    13,151.76x = 18,153.48 × 7,566.48
  4. Step 4: Simplify right side
    13,151.76x = 137,357,943.35
  5. Step 5: Solve for x
    x = 137,357,943.35/13,151.76
  6. Step 6: Final answer
    x = 10,444.07

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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.