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Finding the Fourth Proportional to 10,762.47, 14,853.78 and 6,285.60

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Solution

The fourth proportional to 10,762.47, 14,853.78 and 6,285.60 is: 8,675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.47 : 14,853.78 = 6,285.60 : x
  2. Step 2: Convert to fraction form
    10,762.47/14,853.78 = 6,285.60/x
  3. Step 3: Cross multiply
    10,762.47x = 14,853.78 × 6,285.60
  4. Step 4: Simplify right side
    10,762.47x = 93,364,919.57
  5. Step 5: Solve for x
    x = 93,364,919.57/10,762.47
  6. Step 6: Final answer
    x = 8,675.05

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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.