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Finding the Fourth Proportional to 20,730.40, 29,084 and 20,730.40

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Solution

The fourth proportional to 20,730.40, 29,084 and 20,730.40 is: 29,084

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,730.40 : 29,084 = 20,730.40 : x
  2. Step 2: Convert to fraction form
    20,730.40/29,084 = 20,730.40/x
  3. Step 3: Cross multiply
    20,730.40x = 29,084 × 20,730.40
  4. Step 4: Simplify right side
    20,730.40x = 602,922,953.60
  5. Step 5: Solve for x
    x = 602,922,953.60/20,730.40
  6. Step 6: Final answer
    x = 29,084

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.