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Finding the Fourth Proportional to 7,293.64, 10,055.46 and 4,770.76

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Solution

The fourth proportional to 7,293.64, 10,055.46 and 4,770.76 is: 6,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293.64 : 10,055.46 = 4,770.76 : x
  2. Step 2: Convert to fraction form
    7,293.64/10,055.46 = 4,770.76/x
  3. Step 3: Cross multiply
    7,293.64x = 10,055.46 × 4,770.76
  4. Step 4: Simplify right side
    7,293.64x = 47,972,186.35
  5. Step 5: Solve for x
    x = 47,972,186.35/7,293.64
  6. Step 6: Final answer
    x = 6,577.26

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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.