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Finding the Fourth Proportional to 4,897.78, 7,346.73 and 1,435.10

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Solution

The fourth proportional to 4,897.78, 7,346.73 and 1,435.10 is: 2,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.78 : 7,346.73 = 1,435.10 : x
  2. Step 2: Convert to fraction form
    4,897.78/7,346.73 = 1,435.10/x
  3. Step 3: Cross multiply
    4,897.78x = 7,346.73 × 1,435.10
  4. Step 4: Simplify right side
    4,897.78x = 10,543,292.22
  5. Step 5: Solve for x
    x = 10,543,292.22/4,897.78
  6. Step 6: Final answer
    x = 2,152.67

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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.