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Finding the Fourth Proportional to 10,252.60, 14,382.80 and 10,252.60

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Solution

The fourth proportional to 10,252.60, 14,382.80 and 10,252.60 is: 14,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.60 : 14,382.80 = 10,252.60 : x
  2. Step 2: Convert to fraction form
    10,252.60/14,382.80 = 10,252.60/x
  3. Step 3: Cross multiply
    10,252.60x = 14,382.80 × 10,252.60
  4. Step 4: Simplify right side
    10,252.60x = 147,461,095.28
  5. Step 5: Solve for x
    x = 147,461,095.28/10,252.60
  6. Step 6: Final answer
    x = 14,382.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.