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Finding the Fourth Proportional to 7,758.44, 10,705.72 and 4,569.32

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Solution

The fourth proportional to 7,758.44, 10,705.72 and 4,569.32 is: 6,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.44 : 10,705.72 = 4,569.32 : x
  2. Step 2: Convert to fraction form
    7,758.44/10,705.72 = 4,569.32/x
  3. Step 3: Cross multiply
    7,758.44x = 10,705.72 × 4,569.32
  4. Step 4: Simplify right side
    7,758.44x = 48,917,860.51
  5. Step 5: Solve for x
    x = 48,917,860.51/7,758.44
  6. Step 6: Final answer
    x = 6,305.12

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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.