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Finding the Fourth Proportional to 4,973.16, 6,864 and 4,817.04

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Solution

The fourth proportional to 4,973.16, 6,864 and 4,817.04 is: 6,648.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.16 : 6,864 = 4,817.04 : x
  2. Step 2: Convert to fraction form
    4,973.16/6,864 = 4,817.04/x
  3. Step 3: Cross multiply
    4,973.16x = 6,864 × 4,817.04
  4. Step 4: Simplify right side
    4,973.16x = 33,064,162.56
  5. Step 5: Solve for x
    x = 33,064,162.56/4,973.16
  6. Step 6: Final answer
    x = 6,648.52

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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.