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Finding the Fourth Proportional to 13,043.64, 17,998.84 and 7,666.08

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Solution

The fourth proportional to 13,043.64, 17,998.84 and 7,666.08 is: 10,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,043.64 : 17,998.84 = 7,666.08 : x
  2. Step 2: Convert to fraction form
    13,043.64/17,998.84 = 7,666.08/x
  3. Step 3: Cross multiply
    13,043.64x = 17,998.84 × 7,666.08
  4. Step 4: Simplify right side
    13,043.64x = 137,980,547.35
  5. Step 5: Solve for x
    x = 137,980,547.35/13,043.64
  6. Step 6: Final answer
    x = 10,578.38

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Similar ratio
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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.