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Finding the Fourth Proportional to 23,478.34, 35,228.90 and 10,329

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Solution

The fourth proportional to 23,478.34, 35,228.90 and 10,329 is: 15,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478.34 : 35,228.90 = 10,329 : x
  2. Step 2: Convert to fraction form
    23,478.34/35,228.90 = 10,329/x
  3. Step 3: Cross multiply
    23,478.34x = 35,228.90 × 10,329
  4. Step 4: Simplify right side
    23,478.34x = 363,879,308.10
  5. Step 5: Solve for x
    x = 363,879,308.10/23,478.34
  6. Step 6: Final answer
    x = 15,498.51

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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.