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Finding the Fourth Proportional to 9,798.09, 14,671.62 and 5,409.51

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Solution

The fourth proportional to 9,798.09, 14,671.62 and 5,409.51 is: 8,100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.09 : 14,671.62 = 5,409.51 : x
  2. Step 2: Convert to fraction form
    9,798.09/14,671.62 = 5,409.51/x
  3. Step 3: Cross multiply
    9,798.09x = 14,671.62 × 5,409.51
  4. Step 4: Simplify right side
    9,798.09x = 79,366,275.11
  5. Step 5: Solve for x
    x = 79,366,275.11/9,798.09
  6. Step 6: Final answer
    x = 8,100.18

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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.