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Finding the Fourth Proportional to 10,802.60, 14,907.58 and 5,834.60

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Solution

The fourth proportional to 10,802.60, 14,907.58 and 5,834.60 is: 8,051.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.60 : 14,907.58 = 5,834.60 : x
  2. Step 2: Convert to fraction form
    10,802.60/14,907.58 = 5,834.60/x
  3. Step 3: Cross multiply
    10,802.60x = 14,907.58 × 5,834.60
  4. Step 4: Simplify right side
    10,802.60x = 86,979,766.27
  5. Step 5: Solve for x
    x = 86,979,766.27/10,802.60
  6. Step 6: Final answer
    x = 8,051.74

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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.