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Finding the Fourth Proportional to 10,476.60, 14,456.03 and 6,703.08

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Solution

The fourth proportional to 10,476.60, 14,456.03 and 6,703.08 is: 9,249.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.60 : 14,456.03 = 6,703.08 : x
  2. Step 2: Convert to fraction form
    10,476.60/14,456.03 = 6,703.08/x
  3. Step 3: Cross multiply
    10,476.60x = 14,456.03 × 6,703.08
  4. Step 4: Simplify right side
    10,476.60x = 96,899,925.57
  5. Step 5: Solve for x
    x = 96,899,925.57/10,476.60
  6. Step 6: Final answer
    x = 9,249.18

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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.