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Finding the Fourth Proportional to 9,588.70, 14,397.90 and 5,214.70

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Solution

The fourth proportional to 9,588.70, 14,397.90 and 5,214.70 is: 7,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.70 : 14,397.90 = 5,214.70 : x
  2. Step 2: Convert to fraction form
    9,588.70/14,397.90 = 5,214.70/x
  3. Step 3: Cross multiply
    9,588.70x = 14,397.90 × 5,214.70
  4. Step 4: Simplify right side
    9,588.70x = 75,080,729.13
  5. Step 5: Solve for x
    x = 75,080,729.13/9,588.70
  6. Step 6: Final answer
    x = 7,830.13

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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.