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Finding the Fourth Proportional to 11,482.36, 15,852.11 and 7,507.49

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Solution

The fourth proportional to 11,482.36, 15,852.11 and 7,507.49 is: 10,364.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.36 : 15,852.11 = 7,507.49 : x
  2. Step 2: Convert to fraction form
    11,482.36/15,852.11 = 7,507.49/x
  3. Step 3: Cross multiply
    11,482.36x = 15,852.11 × 7,507.49
  4. Step 4: Simplify right side
    11,482.36x = 119,009,440.51
  5. Step 5: Solve for x
    x = 119,009,440.51/11,482.36
  6. Step 6: Final answer
    x = 10,364.55

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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.