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Finding the Fourth Proportional to 23,643.90, 35,471.04 and 7,005.24

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Solution

The fourth proportional to 23,643.90, 35,471.04 and 7,005.24 is: 10,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.90 : 35,471.04 = 7,005.24 : x
  2. Step 2: Convert to fraction form
    23,643.90/35,471.04 = 7,005.24/x
  3. Step 3: Cross multiply
    23,643.90x = 35,471.04 × 7,005.24
  4. Step 4: Simplify right side
    23,643.90x = 248,483,148.25
  5. Step 5: Solve for x
    x = 248,483,148.25/23,643.90
  6. Step 6: Final answer
    x = 10,509.40

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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.