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Finding the Fourth Proportional to 10,693.64, 14,756.58 and 5,977.16

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Solution

The fourth proportional to 10,693.64, 14,756.58 and 5,977.16 is: 8,248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.64 : 14,756.58 = 5,977.16 : x
  2. Step 2: Convert to fraction form
    10,693.64/14,756.58 = 5,977.16/x
  3. Step 3: Cross multiply
    10,693.64x = 14,756.58 × 5,977.16
  4. Step 4: Simplify right side
    10,693.64x = 88,202,439.71
  5. Step 5: Solve for x
    x = 88,202,439.71/10,693.64
  6. Step 6: Final answer
    x = 8,248.12

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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.