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Finding the Fourth Proportional to 6,775.65, 9,345.38 and 4,784.13

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Solution

The fourth proportional to 6,775.65, 9,345.38 and 4,784.13 is: 6,598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.65 : 9,345.38 = 4,784.13 : x
  2. Step 2: Convert to fraction form
    6,775.65/9,345.38 = 4,784.13/x
  3. Step 3: Cross multiply
    6,775.65x = 9,345.38 × 4,784.13
  4. Step 4: Simplify right side
    6,775.65x = 44,709,488.90
  5. Step 5: Solve for x
    x = 44,709,488.90/6,775.65
  6. Step 6: Final answer
    x = 6,598.55

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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.