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Finding the Fourth Proportional to 10,590.90, 15,886.49 and 7,303.11

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Solution

The fourth proportional to 10,590.90, 15,886.49 and 7,303.11 is: 10,954.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.90 : 15,886.49 = 7,303.11 : x
  2. Step 2: Convert to fraction form
    10,590.90/15,886.49 = 7,303.11/x
  3. Step 3: Cross multiply
    10,590.90x = 15,886.49 × 7,303.11
  4. Step 4: Simplify right side
    10,590.90x = 116,020,668.04
  5. Step 5: Solve for x
    x = 116,020,668.04/10,590.90
  6. Step 6: Final answer
    x = 10,954.76

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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.