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Finding the Fourth Proportional to 5,097.34, 7,646.21 and 1,587.41

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Solution

The fourth proportional to 5,097.34, 7,646.21 and 1,587.41 is: 2,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.34 : 7,646.21 = 1,587.41 : x
  2. Step 2: Convert to fraction form
    5,097.34/7,646.21 = 1,587.41/x
  3. Step 3: Cross multiply
    5,097.34x = 7,646.21 × 1,587.41
  4. Step 4: Simplify right side
    5,097.34x = 12,137,670.22
  5. Step 5: Solve for x
    x = 12,137,670.22/5,097.34
  6. Step 6: Final answer
    x = 2,381.18

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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.