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Finding the Fourth Proportional to 9,566.40, 14,356.32 and 8,750.40

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Solution

The fourth proportional to 9,566.40, 14,356.32 and 8,750.40 is: 13,131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.40 : 14,356.32 = 8,750.40 : x
  2. Step 2: Convert to fraction form
    9,566.40/14,356.32 = 8,750.40/x
  3. Step 3: Cross multiply
    9,566.40x = 14,356.32 × 8,750.40
  4. Step 4: Simplify right side
    9,566.40x = 125,623,542.53
  5. Step 5: Solve for x
    x = 125,623,542.53/9,566.40
  6. Step 6: Final answer
    x = 13,131.75

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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.