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Finding the Fourth Proportional to 15,699, 23,544.18 and 5,842.20

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Solution

The fourth proportional to 15,699, 23,544.18 and 5,842.20 is: 8,761.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,699 : 23,544.18 = 5,842.20 : x
  2. Step 2: Convert to fraction form
    15,699/23,544.18 = 5,842.20/x
  3. Step 3: Cross multiply
    15,699x = 23,544.18 × 5,842.20
  4. Step 4: Simplify right side
    15,699x = 137,549,808.40
  5. Step 5: Solve for x
    x = 137,549,808.40/15,699
  6. Step 6: Final answer
    x = 8,761.69

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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.