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Finding the Fourth Proportional to 19,478.40, 29,230.54 and 7,166.40

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Solution

The fourth proportional to 19,478.40, 29,230.54 and 7,166.40 is: 10,754.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,478.40 : 29,230.54 = 7,166.40 : x
  2. Step 2: Convert to fraction form
    19,478.40/29,230.54 = 7,166.40/x
  3. Step 3: Cross multiply
    19,478.40x = 29,230.54 × 7,166.40
  4. Step 4: Simplify right side
    19,478.40x = 209,477,741.86
  5. Step 5: Solve for x
    x = 209,477,741.86/19,478.40
  6. Step 6: Final answer
    x = 10,754.36

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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.