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Finding the Fourth Proportional to 19,549.69, 26,978.57 and 10,597.16

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Solution

The fourth proportional to 19,549.69, 26,978.57 and 10,597.16 is: 14,624.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,549.69 : 26,978.57 = 10,597.16 : x
  2. Step 2: Convert to fraction form
    19,549.69/26,978.57 = 10,597.16/x
  3. Step 3: Cross multiply
    19,549.69x = 26,978.57 × 10,597.16
  4. Step 4: Simplify right side
    19,549.69x = 285,896,277.06
  5. Step 5: Solve for x
    x = 285,896,277.06/19,549.69
  6. Step 6: Final answer
    x = 14,624.08

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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.