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Finding the Fourth Proportional to 23,673.64, 35,505.42 and 7,029.16

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Solution

The fourth proportional to 23,673.64, 35,505.42 and 7,029.16 is: 10,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,673.64 : 35,505.42 = 7,029.16 : x
  2. Step 2: Convert to fraction form
    23,673.64/35,505.42 = 7,029.16/x
  3. Step 3: Cross multiply
    23,673.64x = 35,505.42 × 7,029.16
  4. Step 4: Simplify right side
    23,673.64x = 249,573,278.05
  5. Step 5: Solve for x
    x = 249,573,278.05/23,673.64
  6. Step 6: Final answer
    x = 10,542.24

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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.