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Finding the Fourth Proportional to 9,762.16, 14,643.10 and 2,366.68

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Solution

The fourth proportional to 9,762.16, 14,643.10 and 2,366.68 is: 3,549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.16 : 14,643.10 = 2,366.68 : x
  2. Step 2: Convert to fraction form
    9,762.16/14,643.10 = 2,366.68/x
  3. Step 3: Cross multiply
    9,762.16x = 14,643.10 × 2,366.68
  4. Step 4: Simplify right side
    9,762.16x = 34,655,446.86
  5. Step 5: Solve for x
    x = 34,655,446.86/9,762.16
  6. Step 6: Final answer
    x = 3,549.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.