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Finding the Fourth Proportional to 7,402.58, 10,201.50 and 5,303.06

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Solution

The fourth proportional to 7,402.58, 10,201.50 and 5,303.06 is: 7,308.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.58 : 10,201.50 = 5,303.06 : x
  2. Step 2: Convert to fraction form
    7,402.58/10,201.50 = 5,303.06/x
  3. Step 3: Cross multiply
    7,402.58x = 10,201.50 × 5,303.06
  4. Step 4: Simplify right side
    7,402.58x = 54,099,166.59
  5. Step 5: Solve for x
    x = 54,099,166.59/7,402.58
  6. Step 6: Final answer
    x = 7,308.15

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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.