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Finding the Fourth Proportional to 19,259, 26,575.98 and 10,875.32

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Solution

The fourth proportional to 19,259, 26,575.98 and 10,875.32 is: 15,007.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,259 : 26,575.98 = 10,875.32 : x
  2. Step 2: Convert to fraction form
    19,259/26,575.98 = 10,875.32/x
  3. Step 3: Cross multiply
    19,259x = 26,575.98 × 10,875.32
  4. Step 4: Simplify right side
    19,259x = 289,022,286.81
  5. Step 5: Solve for x
    x = 289,022,286.81/19,259
  6. Step 6: Final answer
    x = 15,007.13

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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.