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Finding the Fourth Proportional to 25,271.40, 37,907.10 and 6,803.40

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Solution

The fourth proportional to 25,271.40, 37,907.10 and 6,803.40 is: 10,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,271.40 : 37,907.10 = 6,803.40 : x
  2. Step 2: Convert to fraction form
    25,271.40/37,907.10 = 6,803.40/x
  3. Step 3: Cross multiply
    25,271.40x = 37,907.10 × 6,803.40
  4. Step 4: Simplify right side
    25,271.40x = 257,897,164.14
  5. Step 5: Solve for x
    x = 257,897,164.14/25,271.40
  6. Step 6: Final answer
    x = 10,205.10

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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.