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Finding the Fourth Proportional to 9,762.68, 14,666.10 and 6,995.48

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Solution

The fourth proportional to 9,762.68, 14,666.10 and 6,995.48 is: 10,509.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.68 : 14,666.10 = 6,995.48 : x
  2. Step 2: Convert to fraction form
    9,762.68/14,666.10 = 6,995.48/x
  3. Step 3: Cross multiply
    9,762.68x = 14,666.10 × 6,995.48
  4. Step 4: Simplify right side
    9,762.68x = 102,596,409.23
  5. Step 5: Solve for x
    x = 102,596,409.23/9,762.68
  6. Step 6: Final answer
    x = 10,509.04

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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.