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Finding the Fourth Proportional to 5,645.16, 8,430.21 and 5,584.14

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Solution

The fourth proportional to 5,645.16, 8,430.21 and 5,584.14 is: 8,339.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.16 : 8,430.21 = 5,584.14 : x
  2. Step 2: Convert to fraction form
    5,645.16/8,430.21 = 5,584.14/x
  3. Step 3: Cross multiply
    5,645.16x = 8,430.21 × 5,584.14
  4. Step 4: Simplify right side
    5,645.16x = 47,075,472.87
  5. Step 5: Solve for x
    x = 47,075,472.87/5,645.16
  6. Step 6: Final answer
    x = 8,339.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.