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Finding the Fourth Proportional to 4,946.74, 7,423.02 and 4,907.14

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Solution

The fourth proportional to 4,946.74, 7,423.02 and 4,907.14 is: 7,363.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.74 : 7,423.02 = 4,907.14 : x
  2. Step 2: Convert to fraction form
    4,946.74/7,423.02 = 4,907.14/x
  3. Step 3: Cross multiply
    4,946.74x = 7,423.02 × 4,907.14
  4. Step 4: Simplify right side
    4,946.74x = 36,425,798.36
  5. Step 5: Solve for x
    x = 36,425,798.36/4,946.74
  6. Step 6: Final answer
    x = 7,363.60

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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.