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Finding the Fourth Proportional to 13,038.76, 17,993.34 and 7,070.32

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Solution

The fourth proportional to 13,038.76, 17,993.34 and 7,070.32 is: 9,756.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.76 : 17,993.34 = 7,070.32 : x
  2. Step 2: Convert to fraction form
    13,038.76/17,993.34 = 7,070.32/x
  3. Step 3: Cross multiply
    13,038.76x = 17,993.34 × 7,070.32
  4. Step 4: Simplify right side
    13,038.76x = 127,218,671.67
  5. Step 5: Solve for x
    x = 127,218,671.67/13,038.76
  6. Step 6: Final answer
    x = 9,756.96

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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.