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Finding the Fourth Proportional to 9,128.02, 12,590.40 and 5,593

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Solution

The fourth proportional to 9,128.02, 12,590.40 and 5,593 is: 7,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128.02 : 12,590.40 = 5,593 : x
  2. Step 2: Convert to fraction form
    9,128.02/12,590.40 = 5,593/x
  3. Step 3: Cross multiply
    9,128.02x = 12,590.40 × 5,593
  4. Step 4: Simplify right side
    9,128.02x = 70,418,107.20
  5. Step 5: Solve for x
    x = 70,418,107.20/9,128.02
  6. Step 6: Final answer
    x = 7,714.50

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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.