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Finding the Fourth Proportional to 6,349.40, 9,507.90 and 5,053.40

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Solution

The fourth proportional to 6,349.40, 9,507.90 and 5,053.40 is: 7,567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.40 : 9,507.90 = 5,053.40 : x
  2. Step 2: Convert to fraction form
    6,349.40/9,507.90 = 5,053.40/x
  3. Step 3: Cross multiply
    6,349.40x = 9,507.90 × 5,053.40
  4. Step 4: Simplify right side
    6,349.40x = 48,047,221.86
  5. Step 5: Solve for x
    x = 48,047,221.86/6,349.40
  6. Step 6: Final answer
    x = 7,567.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.