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Finding the Fourth Proportional to 5,262.48, 7,894.80 and 1,564.56

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Solution

The fourth proportional to 5,262.48, 7,894.80 and 1,564.56 is: 2,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.48 : 7,894.80 = 1,564.56 : x
  2. Step 2: Convert to fraction form
    5,262.48/7,894.80 = 1,564.56/x
  3. Step 3: Cross multiply
    5,262.48x = 7,894.80 × 1,564.56
  4. Step 4: Simplify right side
    5,262.48x = 12,351,888.29
  5. Step 5: Solve for x
    x = 12,351,888.29/5,262.48
  6. Step 6: Final answer
    x = 2,347.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.