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Finding the Fourth Proportional to 12,706.32, 17,533.08 and 7,117.32

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Solution

The fourth proportional to 12,706.32, 17,533.08 and 7,117.32 is: 9,820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.32 : 17,533.08 = 7,117.32 : x
  2. Step 2: Convert to fraction form
    12,706.32/17,533.08 = 7,117.32/x
  3. Step 3: Cross multiply
    12,706.32x = 17,533.08 × 7,117.32
  4. Step 4: Simplify right side
    12,706.32x = 124,788,540.95
  5. Step 5: Solve for x
    x = 124,788,540.95/12,706.32
  6. Step 6: Final answer
    x = 9,820.98

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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.