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Finding the Fourth Proportional to 10,544.63, 14,551.65 and 5,829.08

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Solution

The fourth proportional to 10,544.63, 14,551.65 and 5,829.08 is: 8,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.63 : 14,551.65 = 5,829.08 : x
  2. Step 2: Convert to fraction form
    10,544.63/14,551.65 = 5,829.08/x
  3. Step 3: Cross multiply
    10,544.63x = 14,551.65 × 5,829.08
  4. Step 4: Simplify right side
    10,544.63x = 84,822,659.22
  5. Step 5: Solve for x
    x = 84,822,659.22/10,544.63
  6. Step 6: Final answer
    x = 8,044.16

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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.