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Finding the Fourth Proportional to 13,116.65, 18,097.76 and 8,407.31

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Solution

The fourth proportional to 13,116.65, 18,097.76 and 8,407.31 is: 11,600.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,116.65 : 18,097.76 = 8,407.31 : x
  2. Step 2: Convert to fraction form
    13,116.65/18,097.76 = 8,407.31/x
  3. Step 3: Cross multiply
    13,116.65x = 18,097.76 × 8,407.31
  4. Step 4: Simplify right side
    13,116.65x = 152,153,409.16
  5. Step 5: Solve for x
    x = 152,153,409.16/13,116.65
  6. Step 6: Final answer
    x = 11,600.02

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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.