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Finding the Fourth Proportional to 9,762.87, 14,649.47 and 5,323.74

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Solution

The fourth proportional to 9,762.87, 14,649.47 and 5,323.74 is: 7,988.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.87 : 14,649.47 = 5,323.74 : x
  2. Step 2: Convert to fraction form
    9,762.87/14,649.47 = 5,323.74/x
  3. Step 3: Cross multiply
    9,762.87x = 14,649.47 × 5,323.74
  4. Step 4: Simplify right side
    9,762.87x = 77,989,969.42
  5. Step 5: Solve for x
    x = 77,989,969.42/9,762.87
  6. Step 6: Final answer
    x = 7,988.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.