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Finding the Fourth Proportional to 11,563.57, 15,957.57 and 6,258.28

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Solution

The fourth proportional to 11,563.57, 15,957.57 and 6,258.28 is: 8,636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.57 : 15,957.57 = 6,258.28 : x
  2. Step 2: Convert to fraction form
    11,563.57/15,957.57 = 6,258.28/x
  3. Step 3: Cross multiply
    11,563.57x = 15,957.57 × 6,258.28
  4. Step 4: Simplify right side
    11,563.57x = 99,866,941.18
  5. Step 5: Solve for x
    x = 99,866,941.18/11,563.57
  6. Step 6: Final answer
    x = 8,636.34

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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.