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Finding the Fourth Proportional to 7,577.50, 10,458.40 and 4,265.50

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Solution

The fourth proportional to 7,577.50, 10,458.40 and 4,265.50 is: 5,887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.50 : 10,458.40 = 4,265.50 : x
  2. Step 2: Convert to fraction form
    7,577.50/10,458.40 = 4,265.50/x
  3. Step 3: Cross multiply
    7,577.50x = 10,458.40 × 4,265.50
  4. Step 4: Simplify right side
    7,577.50x = 44,610,305.20
  5. Step 5: Solve for x
    x = 44,610,305.20/7,577.50
  6. Step 6: Final answer
    x = 5,887.21

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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.