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Finding the Fourth Proportional to 7,175, 10,762.52 and 1,981.28

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Solution

The fourth proportional to 7,175, 10,762.52 and 1,981.28 is: 2,971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175 : 10,762.52 = 1,981.28 : x
  2. Step 2: Convert to fraction form
    7,175/10,762.52 = 1,981.28/x
  3. Step 3: Cross multiply
    7,175x = 10,762.52 × 1,981.28
  4. Step 4: Simplify right side
    7,175x = 21,323,565.63
  5. Step 5: Solve for x
    x = 21,323,565.63/7,175
  6. Step 6: Final answer
    x = 2,971.93

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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.