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Finding the Fourth Proportional to 7,804.42, 10,775.74 and 4,824.34

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Solution

The fourth proportional to 7,804.42, 10,775.74 and 4,824.34 is: 6,661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.42 : 10,775.74 = 4,824.34 : x
  2. Step 2: Convert to fraction form
    7,804.42/10,775.74 = 4,824.34/x
  3. Step 3: Cross multiply
    7,804.42x = 10,775.74 × 4,824.34
  4. Step 4: Simplify right side
    7,804.42x = 51,985,833.51
  5. Step 5: Solve for x
    x = 51,985,833.51/7,804.42
  6. Step 6: Final answer
    x = 6,661.08

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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.