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Finding the Fourth Proportional to 7,507.98, 10,364.64 and 4,994.28

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Solution

The fourth proportional to 7,507.98, 10,364.64 and 4,994.28 is: 6,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.98 : 10,364.64 = 4,994.28 : x
  2. Step 2: Convert to fraction form
    7,507.98/10,364.64 = 4,994.28/x
  3. Step 3: Cross multiply
    7,507.98x = 10,364.64 × 4,994.28
  4. Step 4: Simplify right side
    7,507.98x = 51,763,914.26
  5. Step 5: Solve for x
    x = 51,763,914.26/7,507.98
  6. Step 6: Final answer
    x = 6,894.52

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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.