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Finding the Fourth Proportional to 6,804.84, 9,387.58 and 4,564.38

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Solution

The fourth proportional to 6,804.84, 9,387.58 and 4,564.38 is: 6,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.84 : 9,387.58 = 4,564.38 : x
  2. Step 2: Convert to fraction form
    6,804.84/9,387.58 = 4,564.38/x
  3. Step 3: Cross multiply
    6,804.84x = 9,387.58 × 4,564.38
  4. Step 4: Simplify right side
    6,804.84x = 42,848,482.40
  5. Step 5: Solve for x
    x = 42,848,482.40/6,804.84
  6. Step 6: Final answer
    x = 6,296.77

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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.