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Finding the Fourth Proportional to 10,706, 14,783.40 and 6,733.76

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Solution

The fourth proportional to 10,706, 14,783.40 and 6,733.76 is: 9,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706 : 14,783.40 = 6,733.76 : x
  2. Step 2: Convert to fraction form
    10,706/14,783.40 = 6,733.76/x
  3. Step 3: Cross multiply
    10,706x = 14,783.40 × 6,733.76
  4. Step 4: Simplify right side
    10,706x = 99,547,867.58
  5. Step 5: Solve for x
    x = 99,547,867.58/10,706
  6. Step 6: Final answer
    x = 9,298.33

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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.