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Finding the Fourth Proportional to 5,984.70, 8,259.86 and 4,565.70

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Solution

The fourth proportional to 5,984.70, 8,259.86 and 4,565.70 is: 6,301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.70 : 8,259.86 = 4,565.70 : x
  2. Step 2: Convert to fraction form
    5,984.70/8,259.86 = 4,565.70/x
  3. Step 3: Cross multiply
    5,984.70x = 8,259.86 × 4,565.70
  4. Step 4: Simplify right side
    5,984.70x = 37,712,085.19
  5. Step 5: Solve for x
    x = 37,712,085.19/5,984.70
  6. Step 6: Final answer
    x = 6,301.42

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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.