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Finding the Fourth Proportional to 4,670.65, 6,446.10 and 2,681.92

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Solution

The fourth proportional to 4,670.65, 6,446.10 and 2,681.92 is: 3,701.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.65 : 6,446.10 = 2,681.92 : x
  2. Step 2: Convert to fraction form
    4,670.65/6,446.10 = 2,681.92/x
  3. Step 3: Cross multiply
    4,670.65x = 6,446.10 × 2,681.92
  4. Step 4: Simplify right side
    4,670.65x = 17,287,924.51
  5. Step 5: Solve for x
    x = 17,287,924.51/4,670.65
  6. Step 6: Final answer
    x = 3,701.40

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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.