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Finding the Fourth Proportional to 15,830.68, 23,739.14 and 7,513.08

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Solution

The fourth proportional to 15,830.68, 23,739.14 and 7,513.08 is: 11,266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.68 : 23,739.14 = 7,513.08 : x
  2. Step 2: Convert to fraction form
    15,830.68/23,739.14 = 7,513.08/x
  3. Step 3: Cross multiply
    15,830.68x = 23,739.14 × 7,513.08
  4. Step 4: Simplify right side
    15,830.68x = 178,354,057.95
  5. Step 5: Solve for x
    x = 178,354,057.95/15,830.68
  6. Step 6: Final answer
    x = 11,266.35

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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.