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Finding the Fourth Proportional to 10,341, 14,271.48 and 6,563.70

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Solution

The fourth proportional to 10,341, 14,271.48 and 6,563.70 is: 9,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341 : 14,271.48 = 6,563.70 : x
  2. Step 2: Convert to fraction form
    10,341/14,271.48 = 6,563.70/x
  3. Step 3: Cross multiply
    10,341x = 14,271.48 × 6,563.70
  4. Step 4: Simplify right side
    10,341x = 93,673,713.28
  5. Step 5: Solve for x
    x = 93,673,713.28/10,341
  6. Step 6: Final answer
    x = 9,058.48

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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.