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Finding the Fourth Proportional to 5,948.34, 8,173.18 and 5,564.40

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Solution

The fourth proportional to 5,948.34, 8,173.18 and 5,564.40 is: 7,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.34 : 8,173.18 = 5,564.40 : x
  2. Step 2: Convert to fraction form
    5,948.34/8,173.18 = 5,564.40/x
  3. Step 3: Cross multiply
    5,948.34x = 8,173.18 × 5,564.40
  4. Step 4: Simplify right side
    5,948.34x = 45,478,842.79
  5. Step 5: Solve for x
    x = 45,478,842.79/5,948.34
  6. Step 6: Final answer
    x = 7,645.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.