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Finding the Fourth Proportional to 10,528.74, 14,523.57 and 6,802.74

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Solution

The fourth proportional to 10,528.74, 14,523.57 and 6,802.74 is: 9,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528.74 : 14,523.57 = 6,802.74 : x
  2. Step 2: Convert to fraction form
    10,528.74/14,523.57 = 6,802.74/x
  3. Step 3: Cross multiply
    10,528.74x = 14,523.57 × 6,802.74
  4. Step 4: Simplify right side
    10,528.74x = 98,800,070.58
  5. Step 5: Solve for x
    x = 98,800,070.58/10,528.74
  6. Step 6: Final answer
    x = 9,383.85

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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.