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Finding the Fourth Proportional to 12,473.76, 17,210.16 and 7,756.32

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Solution

The fourth proportional to 12,473.76, 17,210.16 and 7,756.32 is: 10,701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473.76 : 17,210.16 = 7,756.32 : x
  2. Step 2: Convert to fraction form
    12,473.76/17,210.16 = 7,756.32/x
  3. Step 3: Cross multiply
    12,473.76x = 17,210.16 × 7,756.32
  4. Step 4: Simplify right side
    12,473.76x = 133,487,508.21
  5. Step 5: Solve for x
    x = 133,487,508.21/12,473.76
  6. Step 6: Final answer
    x = 10,701.47

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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.