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Finding the Fourth Proportional to 6,545, 9,022.56 and 4,970.36

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Solution

The fourth proportional to 6,545, 9,022.56 and 4,970.36 is: 6,851.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545 : 9,022.56 = 4,970.36 : x
  2. Step 2: Convert to fraction form
    6,545/9,022.56 = 4,970.36/x
  3. Step 3: Cross multiply
    6,545x = 9,022.56 × 4,970.36
  4. Step 4: Simplify right side
    6,545x = 44,845,371.32
  5. Step 5: Solve for x
    x = 44,845,371.32/6,545
  6. Step 6: Final answer
    x = 6,851.85

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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.