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Finding the Fourth Proportional to 4,907.48, 7,355.38 and 1,985.40

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Solution

The fourth proportional to 4,907.48, 7,355.38 and 1,985.40 is: 2,975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.48 : 7,355.38 = 1,985.40 : x
  2. Step 2: Convert to fraction form
    4,907.48/7,355.38 = 1,985.40/x
  3. Step 3: Cross multiply
    4,907.48x = 7,355.38 × 1,985.40
  4. Step 4: Simplify right side
    4,907.48x = 14,603,371.45
  5. Step 5: Solve for x
    x = 14,603,371.45/4,907.48
  6. Step 6: Final answer
    x = 2,975.74

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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.