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Finding the Fourth Proportional to 9,779.51, 13,496.76 and 5,746.93

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Solution

The fourth proportional to 9,779.51, 13,496.76 and 5,746.93 is: 7,931.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.51 : 13,496.76 = 5,746.93 : x
  2. Step 2: Convert to fraction form
    9,779.51/13,496.76 = 5,746.93/x
  3. Step 3: Cross multiply
    9,779.51x = 13,496.76 × 5,746.93
  4. Step 4: Simplify right side
    9,779.51x = 77,564,901.20
  5. Step 5: Solve for x
    x = 77,564,901.20/9,779.51
  6. Step 6: Final answer
    x = 7,931.37

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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.