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Finding the Fourth Proportional to 19,262.50, 26,582.25 and 10,430.50

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Solution

The fourth proportional to 19,262.50, 26,582.25 and 10,430.50 is: 14,394.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,262.50 : 26,582.25 = 10,430.50 : x
  2. Step 2: Convert to fraction form
    19,262.50/26,582.25 = 10,430.50/x
  3. Step 3: Cross multiply
    19,262.50x = 26,582.25 × 10,430.50
  4. Step 4: Simplify right side
    19,262.50x = 277,266,158.63
  5. Step 5: Solve for x
    x = 277,266,158.63/19,262.50
  6. Step 6: Final answer
    x = 14,394.09

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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.