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Finding the Fourth Proportional to 10,573.77, 15,859.71 and 6,412.53

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Solution

The fourth proportional to 10,573.77, 15,859.71 and 6,412.53 is: 9,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.77 : 15,859.71 = 6,412.53 : x
  2. Step 2: Convert to fraction form
    10,573.77/15,859.71 = 6,412.53/x
  3. Step 3: Cross multiply
    10,573.77x = 15,859.71 × 6,412.53
  4. Step 4: Simplify right side
    10,573.77x = 101,700,866.17
  5. Step 5: Solve for x
    x = 101,700,866.17/10,573.77
  6. Step 6: Final answer
    x = 9,618.22

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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.