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Finding the Fourth Proportional to 7,547.94, 10,412.92 and 4,562.04

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Solution

The fourth proportional to 7,547.94, 10,412.92 and 4,562.04 is: 6,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.94 : 10,412.92 = 4,562.04 : x
  2. Step 2: Convert to fraction form
    7,547.94/10,412.92 = 4,562.04/x
  3. Step 3: Cross multiply
    7,547.94x = 10,412.92 × 4,562.04
  4. Step 4: Simplify right side
    7,547.94x = 47,504,172.18
  5. Step 5: Solve for x
    x = 47,504,172.18/7,547.94
  6. Step 6: Final answer
    x = 6,293.66

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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.