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Finding the Fourth Proportional to 7,135.68, 9,848.22 and 4,303.20

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Solution

The fourth proportional to 7,135.68, 9,848.22 and 4,303.20 is: 5,939.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.68 : 9,848.22 = 4,303.20 : x
  2. Step 2: Convert to fraction form
    7,135.68/9,848.22 = 4,303.20/x
  3. Step 3: Cross multiply
    7,135.68x = 9,848.22 × 4,303.20
  4. Step 4: Simplify right side
    7,135.68x = 42,378,860.30
  5. Step 5: Solve for x
    x = 42,378,860.30/7,135.68
  6. Step 6: Final answer
    x = 5,939.01

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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.