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Finding the Fourth Proportional to 10,582.04, 14,540 and 9,899.48

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Solution

The fourth proportional to 10,582.04, 14,540 and 9,899.48 is: 13,602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.04 : 14,540 = 9,899.48 : x
  2. Step 2: Convert to fraction form
    10,582.04/14,540 = 9,899.48/x
  3. Step 3: Cross multiply
    10,582.04x = 14,540 × 9,899.48
  4. Step 4: Simplify right side
    10,582.04x = 143,938,439.20
  5. Step 5: Solve for x
    x = 143,938,439.20/10,582.04
  6. Step 6: Final answer
    x = 13,602.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.