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Finding the Fourth Proportional to 7,258, 10,017.36 and 4,114.24

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Solution

The fourth proportional to 7,258, 10,017.36 and 4,114.24 is: 5,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258 : 10,017.36 = 4,114.24 : x
  2. Step 2: Convert to fraction form
    7,258/10,017.36 = 4,114.24/x
  3. Step 3: Cross multiply
    7,258x = 10,017.36 × 4,114.24
  4. Step 4: Simplify right side
    7,258x = 41,213,823.21
  5. Step 5: Solve for x
    x = 41,213,823.21/7,258
  6. Step 6: Final answer
    x = 5,678.40

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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.