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Finding the Fourth Proportional to 5,985.48, 9,023.02 and 5,584.06

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Solution

The fourth proportional to 5,985.48, 9,023.02 and 5,584.06 is: 8,417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.48 : 9,023.02 = 5,584.06 : x
  2. Step 2: Convert to fraction form
    5,985.48/9,023.02 = 5,584.06/x
  3. Step 3: Cross multiply
    5,985.48x = 9,023.02 × 5,584.06
  4. Step 4: Simplify right side
    5,985.48x = 50,385,085.06
  5. Step 5: Solve for x
    x = 50,385,085.06/5,985.48
  6. Step 6: Final answer
    x = 8,417.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.