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Finding the Fourth Proportional to 6,851.70, 9,453.04 and 4,460.58

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Solution

The fourth proportional to 6,851.70, 9,453.04 and 4,460.58 is: 6,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.70 : 9,453.04 = 4,460.58 : x
  2. Step 2: Convert to fraction form
    6,851.70/9,453.04 = 4,460.58/x
  3. Step 3: Cross multiply
    6,851.70x = 9,453.04 × 4,460.58
  4. Step 4: Simplify right side
    6,851.70x = 42,166,030.01
  5. Step 5: Solve for x
    x = 42,166,030.01/6,851.70
  6. Step 6: Final answer
    x = 6,154.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.