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Finding the Fourth Proportional to 7,875.24, 11,798.96 and 7,017.18

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Solution

The fourth proportional to 7,875.24, 11,798.96 and 7,017.18 is: 10,513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.24 : 11,798.96 = 7,017.18 : x
  2. Step 2: Convert to fraction form
    7,875.24/11,798.96 = 7,017.18/x
  3. Step 3: Cross multiply
    7,875.24x = 11,798.96 × 7,017.18
  4. Step 4: Simplify right side
    7,875.24x = 82,795,426.13
  5. Step 5: Solve for x
    x = 82,795,426.13/7,875.24
  6. Step 6: Final answer
    x = 10,513.38

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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.