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Finding the Fourth Proportional to 6,501.36, 8,972.64 and 6,297.24

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Solution

The fourth proportional to 6,501.36, 8,972.64 and 6,297.24 is: 8,690.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.36 : 8,972.64 = 6,297.24 : x
  2. Step 2: Convert to fraction form
    6,501.36/8,972.64 = 6,297.24/x
  3. Step 3: Cross multiply
    6,501.36x = 8,972.64 × 6,297.24
  4. Step 4: Simplify right side
    6,501.36x = 56,502,867.51
  5. Step 5: Solve for x
    x = 56,502,867.51/6,501.36
  6. Step 6: Final answer
    x = 8,690.93

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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.