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Finding the Fourth Proportional to 7,053.96, 9,734.34 and 4,259.46

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Solution

The fourth proportional to 7,053.96, 9,734.34 and 4,259.46 is: 5,877.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.96 : 9,734.34 = 4,259.46 : x
  2. Step 2: Convert to fraction form
    7,053.96/9,734.34 = 4,259.46/x
  3. Step 3: Cross multiply
    7,053.96x = 9,734.34 × 4,259.46
  4. Step 4: Simplify right side
    7,053.96x = 41,463,031.86
  5. Step 5: Solve for x
    x = 41,463,031.86/7,053.96
  6. Step 6: Final answer
    x = 5,877.98

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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.