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Finding the Fourth Proportional to 15,735.16, 23,602.74 and 6,967.72

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Solution

The fourth proportional to 15,735.16, 23,602.74 and 6,967.72 is: 10,451.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.16 : 23,602.74 = 6,967.72 : x
  2. Step 2: Convert to fraction form
    15,735.16/23,602.74 = 6,967.72/x
  3. Step 3: Cross multiply
    15,735.16x = 23,602.74 × 6,967.72
  4. Step 4: Simplify right side
    15,735.16x = 164,457,283.55
  5. Step 5: Solve for x
    x = 164,457,283.55/15,735.16
  6. Step 6: Final answer
    x = 10,451.58

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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.