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Finding the Fourth Proportional to 10,802.65, 14,908.85 and 6,823.57

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Solution

The fourth proportional to 10,802.65, 14,908.85 and 6,823.57 is: 9,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.65 : 14,908.85 = 6,823.57 : x
  2. Step 2: Convert to fraction form
    10,802.65/14,908.85 = 6,823.57/x
  3. Step 3: Cross multiply
    10,802.65x = 14,908.85 × 6,823.57
  4. Step 4: Simplify right side
    10,802.65x = 101,731,524.11
  5. Step 5: Solve for x
    x = 101,731,524.11/10,802.65
  6. Step 6: Final answer
    x = 9,417.28

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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.