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Finding the Fourth Proportional to 6,852.04, 9,455.88 and 4,057

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Solution

The fourth proportional to 6,852.04, 9,455.88 and 4,057 is: 5,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.04 : 9,455.88 = 4,057 : x
  2. Step 2: Convert to fraction form
    6,852.04/9,455.88 = 4,057/x
  3. Step 3: Cross multiply
    6,852.04x = 9,455.88 × 4,057
  4. Step 4: Simplify right side
    6,852.04x = 38,362,505.16
  5. Step 5: Solve for x
    x = 38,362,505.16/6,852.04
  6. Step 6: Final answer
    x = 5,598.70

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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.