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Finding the Fourth Proportional to 10,356.68, 14,300.34 and 8,360.84

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Solution

The fourth proportional to 10,356.68, 14,300.34 and 8,360.84 is: 11,544.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.68 : 14,300.34 = 8,360.84 : x
  2. Step 2: Convert to fraction form
    10,356.68/14,300.34 = 8,360.84/x
  3. Step 3: Cross multiply
    10,356.68x = 14,300.34 × 8,360.84
  4. Step 4: Simplify right side
    10,356.68x = 119,562,854.69
  5. Step 5: Solve for x
    x = 119,562,854.69/10,356.68
  6. Step 6: Final answer
    x = 11,544.52

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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.