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Finding the Fourth Proportional to 10,357.10, 14,287.90 and 7,001.08

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Solution

The fourth proportional to 10,357.10, 14,287.90 and 7,001.08 is: 9,658.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.10 : 14,287.90 = 7,001.08 : x
  2. Step 2: Convert to fraction form
    10,357.10/14,287.90 = 7,001.08/x
  3. Step 3: Cross multiply
    10,357.10x = 14,287.90 × 7,001.08
  4. Step 4: Simplify right side
    10,357.10x = 100,030,730.93
  5. Step 5: Solve for x
    x = 100,030,730.93/10,357.10
  6. Step 6: Final answer
    x = 9,658.18

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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.