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Finding the Fourth Proportional to 10,546, 14,553.72 and 6,826.48

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Solution

The fourth proportional to 10,546, 14,553.72 and 6,826.48 is: 9,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546 : 14,553.72 = 6,826.48 : x
  2. Step 2: Convert to fraction form
    10,546/14,553.72 = 6,826.48/x
  3. Step 3: Cross multiply
    10,546x = 14,553.72 × 6,826.48
  4. Step 4: Simplify right side
    10,546x = 99,350,678.51
  5. Step 5: Solve for x
    x = 99,350,678.51/10,546
  6. Step 6: Final answer
    x = 9,420.70

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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.