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Finding the Fourth Proportional to 13,875, 19,147.42 and 7,587.40

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Solution

The fourth proportional to 13,875, 19,147.42 and 7,587.40 is: 10,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875 : 19,147.42 = 7,587.40 : x
  2. Step 2: Convert to fraction form
    13,875/19,147.42 = 7,587.40/x
  3. Step 3: Cross multiply
    13,875x = 19,147.42 × 7,587.40
  4. Step 4: Simplify right side
    13,875x = 145,279,134.51
  5. Step 5: Solve for x
    x = 145,279,134.51/13,875
  6. Step 6: Final answer
    x = 10,470.57

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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.