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Finding the Fourth Proportional to 7,256.65, 10,014 and 4,232.32

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Solution

The fourth proportional to 7,256.65, 10,014 and 4,232.32 is: 5,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.65 : 10,014 = 4,232.32 : x
  2. Step 2: Convert to fraction form
    7,256.65/10,014 = 4,232.32/x
  3. Step 3: Cross multiply
    7,256.65x = 10,014 × 4,232.32
  4. Step 4: Simplify right side
    7,256.65x = 42,382,452.48
  5. Step 5: Solve for x
    x = 42,382,452.48/7,256.65
  6. Step 6: Final answer
    x = 5,840.50

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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.