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Finding the Fourth Proportional to 10,646.52, 14,706.54 and 9,652.92

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Solution

The fourth proportional to 10,646.52, 14,706.54 and 9,652.92 is: 13,334.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.52 : 14,706.54 = 9,652.92 : x
  2. Step 2: Convert to fraction form
    10,646.52/14,706.54 = 9,652.92/x
  3. Step 3: Cross multiply
    10,646.52x = 14,706.54 × 9,652.92
  4. Step 4: Simplify right side
    10,646.52x = 141,961,054.10
  5. Step 5: Solve for x
    x = 141,961,054.10/10,646.52
  6. Step 6: Final answer
    x = 13,334.03

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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.