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Finding the Fourth Proportional to 10,762.80, 14,852.80 and 6,513.81

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Solution

The fourth proportional to 10,762.80, 14,852.80 and 6,513.81 is: 8,989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.80 : 14,852.80 = 6,513.81 : x
  2. Step 2: Convert to fraction form
    10,762.80/14,852.80 = 6,513.81/x
  3. Step 3: Cross multiply
    10,762.80x = 14,852.80 × 6,513.81
  4. Step 4: Simplify right side
    10,762.80x = 96,748,317.17
  5. Step 5: Solve for x
    x = 96,748,317.17/10,762.80
  6. Step 6: Final answer
    x = 8,989.14

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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.