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Finding the Fourth Proportional to 10,646.76, 14,701.80 and 6,674.70

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Solution

The fourth proportional to 10,646.76, 14,701.80 and 6,674.70 is: 9,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.76 : 14,701.80 = 6,674.70 : x
  2. Step 2: Convert to fraction form
    10,646.76/14,701.80 = 6,674.70/x
  3. Step 3: Cross multiply
    10,646.76x = 14,701.80 × 6,674.70
  4. Step 4: Simplify right side
    10,646.76x = 98,130,104.46
  5. Step 5: Solve for x
    x = 98,130,104.46/10,646.76
  6. Step 6: Final answer
    x = 9,216.90

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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.