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Finding the Fourth Proportional to 4,674.98, 6,974.16 and 4,547.86

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Solution

The fourth proportional to 4,674.98, 6,974.16 and 4,547.86 is: 6,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.98 : 6,974.16 = 4,547.86 : x
  2. Step 2: Convert to fraction form
    4,674.98/6,974.16 = 4,547.86/x
  3. Step 3: Cross multiply
    4,674.98x = 6,974.16 × 4,547.86
  4. Step 4: Simplify right side
    4,674.98x = 31,717,503.30
  5. Step 5: Solve for x
    x = 31,717,503.30/4,674.98
  6. Step 6: Final answer
    x = 6,784.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.