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Finding the Fourth Proportional to 7,259.64, 10,840.32 and 5,762.07

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Solution

The fourth proportional to 7,259.64, 10,840.32 and 5,762.07 is: 8,604.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.64 : 10,840.32 = 5,762.07 : x
  2. Step 2: Convert to fraction form
    7,259.64/10,840.32 = 5,762.07/x
  3. Step 3: Cross multiply
    7,259.64x = 10,840.32 × 5,762.07
  4. Step 4: Simplify right side
    7,259.64x = 62,462,704.27
  5. Step 5: Solve for x
    x = 62,462,704.27/7,259.64
  6. Step 6: Final answer
    x = 8,604.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.