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Finding the Fourth Proportional to 10,582.80, 14,836.40 and 10,582.80

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Solution

The fourth proportional to 10,582.80, 14,836.40 and 10,582.80 is: 14,836.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.80 : 14,836.40 = 10,582.80 : x
  2. Step 2: Convert to fraction form
    10,582.80/14,836.40 = 10,582.80/x
  3. Step 3: Cross multiply
    10,582.80x = 14,836.40 × 10,582.80
  4. Step 4: Simplify right side
    10,582.80x = 157,010,653.92
  5. Step 5: Solve for x
    x = 157,010,653.92/10,582.80
  6. Step 6: Final answer
    x = 14,836.40

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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.