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Finding the Fourth Proportional to 23,668.64, 35,497.92 and 7,024.16

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Solution

The fourth proportional to 23,668.64, 35,497.92 and 7,024.16 is: 10,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,668.64 : 35,497.92 = 7,024.16 : x
  2. Step 2: Convert to fraction form
    23,668.64/35,497.92 = 7,024.16/x
  3. Step 3: Cross multiply
    23,668.64x = 35,497.92 × 7,024.16
  4. Step 4: Simplify right side
    23,668.64x = 249,343,069.75
  5. Step 5: Solve for x
    x = 249,343,069.75/23,668.64
  6. Step 6: Final answer
    x = 10,534.74

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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.