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Finding the Fourth Proportional to 10,578.68, 14,578.44 and 7,746.92

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Solution

The fourth proportional to 10,578.68, 14,578.44 and 7,746.92 is: 10,676.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.68 : 14,578.44 = 7,746.92 : x
  2. Step 2: Convert to fraction form
    10,578.68/14,578.44 = 7,746.92/x
  3. Step 3: Cross multiply
    10,578.68x = 14,578.44 × 7,746.92
  4. Step 4: Simplify right side
    10,578.68x = 112,938,008.40
  5. Step 5: Solve for x
    x = 112,938,008.40/10,578.68
  6. Step 6: Final answer
    x = 10,676.00

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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.